#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 r21973 = 1;
        float r21974 = 2;
        float r21975 = r21973 / r21974;
        float r21976 = l;
        float r21977 = r21974 * r21976;
        float r21978 = Om;
        float r21979 = r21977 / r21978;
        float r21980 = pow(r21979, r21974);
        float r21981 = kx;
        float r21982 = sin(r21981);
        float r21983 = pow(r21982, r21974);
        float r21984 = ky;
        float r21985 = sin(r21984);
        float r21986 = pow(r21985, r21974);
        float r21987 = r21983 + r21986;
        float r21988 = r21980 * r21987;
        float r21989 = r21973 + r21988;
        float r21990 = sqrt(r21989);
        float r21991 = r21973 / r21990;
        float r21992 = r21973 + r21991;
        float r21993 = r21975 * r21992;
        float r21994 = sqrt(r21993);
        return r21994;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21995 = 1;
        double r21996 = 2;
        double r21997 = r21995 / r21996;
        double r21998 = l;
        double r21999 = r21996 * r21998;
        double r22000 = Om;
        double r22001 = r21999 / r22000;
        double r22002 = pow(r22001, r21996);
        double r22003 = kx;
        double r22004 = sin(r22003);
        double r22005 = pow(r22004, r21996);
        double r22006 = ky;
        double r22007 = sin(r22006);
        double r22008 = pow(r22007, r21996);
        double r22009 = r22005 + r22008;
        double r22010 = r22002 * r22009;
        double r22011 = r21995 + r22010;
        double r22012 = sqrt(r22011);
        double r22013 = r21995 / r22012;
        double r22014 = r21995 + r22013;
        double r22015 = r21997 * r22014;
        double r22016 = sqrt(r22015);
        return r22016;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22017 = 1;
        float r22018 = 2;
        float r22019 = r22017 / r22018;
        float r22020 = l;
        float r22021 = Om;
        float r22022 = r22021 / r22018;
        float r22023 = r22020 / r22022;
        float r22024 = kx;
        float r22025 = sin(r22024);
        float r22026 = ky;
        float r22027 = sin(r22026);
        float r22028 = hypot(r22025, r22027);
        float r22029 = r22023 * r22028;
        float r22030 = hypot(r22017, r22029);
        float r22031 = expm1(r22030);
        float r22032 = log1p(r22031);
        float r22033 = r22017 / r22032;
        float r22034 = r22017 + r22033;
        float r22035 = r22019 * r22034;
        float r22036 = sqrt(r22035);
        return r22036;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22037 = 1;
        double r22038 = 2;
        double r22039 = r22037 / r22038;
        double r22040 = l;
        double r22041 = Om;
        double r22042 = r22041 / r22038;
        double r22043 = r22040 / r22042;
        double r22044 = kx;
        double r22045 = sin(r22044);
        double r22046 = ky;
        double r22047 = sin(r22046);
        double r22048 = hypot(r22045, r22047);
        double r22049 = r22043 * r22048;
        double r22050 = hypot(r22037, r22049);
        double r22051 = expm1(r22050);
        double r22052 = log1p(r22051);
        double r22053 = r22037 / r22052;
        double r22054 = r22037 + r22053;
        double r22055 = r22039 * r22054;
        double r22056 = sqrt(r22055);
        return r22056;
}

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 r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22057, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22058, "2", 10, MPFR_RNDN);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init(r22069);
        mpfr_init(r22070);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init(r22074);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init(r22077);
        mpfr_init(r22078);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22059, r22057, r22058, MPFR_RNDN);
        mpfr_set_d(r22060, l, MPFR_RNDN);
        mpfr_mul(r22061, r22058, r22060, MPFR_RNDN);
        mpfr_set_d(r22062, Om, MPFR_RNDN);
        mpfr_div(r22063, r22061, r22062, MPFR_RNDN);
        mpfr_pow(r22064, r22063, r22058, MPFR_RNDN);
        mpfr_set_d(r22065, kx, MPFR_RNDN);
        mpfr_sin(r22066, r22065, MPFR_RNDN);
        mpfr_pow(r22067, r22066, r22058, MPFR_RNDN);
        mpfr_set_d(r22068, ky, MPFR_RNDN);
        mpfr_sin(r22069, r22068, MPFR_RNDN);
        mpfr_pow(r22070, r22069, r22058, MPFR_RNDN);
        mpfr_add(r22071, r22067, r22070, MPFR_RNDN);
        mpfr_mul(r22072, r22064, r22071, MPFR_RNDN);
        mpfr_add(r22073, r22057, r22072, MPFR_RNDN);
        mpfr_sqrt(r22074, r22073, MPFR_RNDN);
        mpfr_div(r22075, r22057, r22074, MPFR_RNDN);
        mpfr_add(r22076, r22057, r22075, MPFR_RNDN);
        mpfr_mul(r22077, r22059, r22076, MPFR_RNDN);
        mpfr_sqrt(r22078, r22077, MPFR_RNDN);
        return mpfr_get_d(r22078, MPFR_RNDN);
}

static mpfr_t r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22079, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22080, "2", 10, MPFR_RNDN);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22081, r22079, r22080, MPFR_RNDN);
        mpfr_set_d(r22082, l, MPFR_RNDN);
        mpfr_set_d(r22083, Om, MPFR_RNDN);
        mpfr_div(r22084, r22083, r22080, MPFR_RNDN);
        mpfr_div(r22085, r22082, r22084, MPFR_RNDN);
        mpfr_set_d(r22086, kx, MPFR_RNDN);
        mpfr_sin(r22087, r22086, MPFR_RNDN);
        mpfr_set_d(r22088, ky, MPFR_RNDN);
        mpfr_sin(r22089, r22088, MPFR_RNDN);
        mpfr_hypot(r22090, r22087, r22089, MPFR_RNDN);
        mpfr_mul(r22091, r22085, r22090, MPFR_RNDN);
        mpfr_hypot(r22092, r22079, r22091, MPFR_RNDN);
        mpfr_expm1(r22093, r22092, MPFR_RNDN);
        mpfr_log1p(r22094, r22093, MPFR_RNDN);
        mpfr_div(r22095, r22079, r22094, MPFR_RNDN);
        mpfr_add(r22096, r22079, r22095, MPFR_RNDN);
        mpfr_mul(r22097, r22081, r22096, MPFR_RNDN);
        mpfr_sqrt(r22098, r22097, MPFR_RNDN);
        return mpfr_get_d(r22098, MPFR_RNDN);
}

static mpfr_t r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22099, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22100, "2", 10, MPFR_RNDN);
        mpfr_init(r22101);
        mpfr_init(r22102);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init(r22105);
        mpfr_init(r22106);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init(r22118);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22101, r22099, r22100, MPFR_RNDN);
        mpfr_set_d(r22102, l, MPFR_RNDN);
        mpfr_set_d(r22103, Om, MPFR_RNDN);
        mpfr_div(r22104, r22103, r22100, MPFR_RNDN);
        mpfr_div(r22105, r22102, r22104, MPFR_RNDN);
        mpfr_set_d(r22106, kx, MPFR_RNDN);
        mpfr_sin(r22107, r22106, MPFR_RNDN);
        mpfr_set_d(r22108, ky, MPFR_RNDN);
        mpfr_sin(r22109, r22108, MPFR_RNDN);
        mpfr_hypot(r22110, r22107, r22109, MPFR_RNDN);
        mpfr_mul(r22111, r22105, r22110, MPFR_RNDN);
        mpfr_hypot(r22112, r22099, r22111, MPFR_RNDN);
        mpfr_expm1(r22113, r22112, MPFR_RNDN);
        mpfr_log1p(r22114, r22113, MPFR_RNDN);
        mpfr_div(r22115, r22099, r22114, MPFR_RNDN);
        mpfr_add(r22116, r22099, r22115, MPFR_RNDN);
        mpfr_mul(r22117, r22101, r22116, MPFR_RNDN);
        mpfr_sqrt(r22118, r22117, MPFR_RNDN);
        return mpfr_get_d(r22118, MPFR_RNDN);
}

