#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 r21869 = 1;
        float r21870 = 2;
        float r21871 = r21869 / r21870;
        float r21872 = l;
        float r21873 = r21870 * r21872;
        float r21874 = Om;
        float r21875 = r21873 / r21874;
        float r21876 = pow(r21875, r21870);
        float r21877 = kx;
        float r21878 = sin(r21877);
        float r21879 = pow(r21878, r21870);
        float r21880 = ky;
        float r21881 = sin(r21880);
        float r21882 = pow(r21881, r21870);
        float r21883 = r21879 + r21882;
        float r21884 = r21876 * r21883;
        float r21885 = r21869 + r21884;
        float r21886 = sqrt(r21885);
        float r21887 = r21869 / r21886;
        float r21888 = r21869 + r21887;
        float r21889 = r21871 * r21888;
        float r21890 = sqrt(r21889);
        return r21890;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21891 = 1;
        double r21892 = 2;
        double r21893 = r21891 / r21892;
        double r21894 = l;
        double r21895 = r21892 * r21894;
        double r21896 = Om;
        double r21897 = r21895 / r21896;
        double r21898 = pow(r21897, r21892);
        double r21899 = kx;
        double r21900 = sin(r21899);
        double r21901 = pow(r21900, r21892);
        double r21902 = ky;
        double r21903 = sin(r21902);
        double r21904 = pow(r21903, r21892);
        double r21905 = r21901 + r21904;
        double r21906 = r21898 * r21905;
        double r21907 = r21891 + r21906;
        double r21908 = sqrt(r21907);
        double r21909 = r21891 / r21908;
        double r21910 = r21891 + r21909;
        double r21911 = r21893 * r21910;
        double r21912 = sqrt(r21911);
        return r21912;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21913 = 1;
        float r21914 = 2;
        float r21915 = r21913 / r21914;
        float r21916 = l;
        float r21917 = Om;
        float r21918 = r21917 / r21914;
        float r21919 = r21916 / r21918;
        float r21920 = kx;
        float r21921 = sin(r21920);
        float r21922 = ky;
        float r21923 = sin(r21922);
        float r21924 = hypot(r21921, r21923);
        float r21925 = r21919 * r21924;
        float r21926 = hypot(r21913, r21925);
        float r21927 = expm1(r21926);
        float r21928 = log1p(r21927);
        float r21929 = r21913 / r21928;
        float r21930 = r21913 + r21929;
        float r21931 = r21915 * r21930;
        float r21932 = sqrt(r21931);
        return r21932;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21933 = 1;
        double r21934 = 2;
        double r21935 = r21933 / r21934;
        double r21936 = l;
        double r21937 = Om;
        double r21938 = r21937 / r21934;
        double r21939 = r21936 / r21938;
        double r21940 = kx;
        double r21941 = sin(r21940);
        double r21942 = ky;
        double r21943 = sin(r21942);
        double r21944 = hypot(r21941, r21943);
        double r21945 = r21939 * r21944;
        double r21946 = hypot(r21933, r21945);
        double r21947 = expm1(r21946);
        double r21948 = log1p(r21947);
        double r21949 = r21933 / r21948;
        double r21950 = r21933 + r21949;
        double r21951 = r21935 * r21950;
        double r21952 = sqrt(r21951);
        return r21952;
}

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 r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21953, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21954, "2", 10, MPFR_RNDN);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init(r21967);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21955, r21953, r21954, MPFR_RNDN);
        mpfr_set_d(r21956, l, MPFR_RNDN);
        mpfr_mul(r21957, r21954, r21956, MPFR_RNDN);
        mpfr_set_d(r21958, Om, MPFR_RNDN);
        mpfr_div(r21959, r21957, r21958, MPFR_RNDN);
        mpfr_pow(r21960, r21959, r21954, MPFR_RNDN);
        mpfr_set_d(r21961, kx, MPFR_RNDN);
        mpfr_sin(r21962, r21961, MPFR_RNDN);
        mpfr_pow(r21963, r21962, r21954, MPFR_RNDN);
        mpfr_set_d(r21964, ky, MPFR_RNDN);
        mpfr_sin(r21965, r21964, MPFR_RNDN);
        mpfr_pow(r21966, r21965, r21954, MPFR_RNDN);
        mpfr_add(r21967, r21963, r21966, MPFR_RNDN);
        mpfr_mul(r21968, r21960, r21967, MPFR_RNDN);
        mpfr_add(r21969, r21953, r21968, MPFR_RNDN);
        mpfr_sqrt(r21970, r21969, MPFR_RNDN);
        mpfr_div(r21971, r21953, r21970, MPFR_RNDN);
        mpfr_add(r21972, r21953, r21971, MPFR_RNDN);
        mpfr_mul(r21973, r21955, r21972, MPFR_RNDN);
        mpfr_sqrt(r21974, r21973, MPFR_RNDN);
        return mpfr_get_d(r21974, MPFR_RNDN);
}

static mpfr_t r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21975, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21976, "2", 10, MPFR_RNDN);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21977, r21975, r21976, MPFR_RNDN);
        mpfr_set_d(r21978, l, MPFR_RNDN);
        mpfr_set_d(r21979, Om, MPFR_RNDN);
        mpfr_div(r21980, r21979, r21976, MPFR_RNDN);
        mpfr_div(r21981, r21978, r21980, MPFR_RNDN);
        mpfr_set_d(r21982, kx, MPFR_RNDN);
        mpfr_sin(r21983, r21982, MPFR_RNDN);
        mpfr_set_d(r21984, ky, MPFR_RNDN);
        mpfr_sin(r21985, r21984, MPFR_RNDN);
        mpfr_hypot(r21986, r21983, r21985, MPFR_RNDN);
        mpfr_mul(r21987, r21981, r21986, MPFR_RNDN);
        mpfr_hypot(r21988, r21975, r21987, MPFR_RNDN);
        mpfr_expm1(r21989, r21988, MPFR_RNDN);
        mpfr_log1p(r21990, r21989, MPFR_RNDN);
        mpfr_div(r21991, r21975, r21990, MPFR_RNDN);
        mpfr_add(r21992, r21975, r21991, MPFR_RNDN);
        mpfr_mul(r21993, r21977, r21992, MPFR_RNDN);
        mpfr_sqrt(r21994, r21993, MPFR_RNDN);
        return mpfr_get_d(r21994, MPFR_RNDN);
}

static mpfr_t r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21995, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21996, "2", 10, MPFR_RNDN);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21997, r21995, r21996, MPFR_RNDN);
        mpfr_set_d(r21998, l, MPFR_RNDN);
        mpfr_set_d(r21999, Om, MPFR_RNDN);
        mpfr_div(r22000, r21999, r21996, MPFR_RNDN);
        mpfr_div(r22001, r21998, r22000, MPFR_RNDN);
        mpfr_set_d(r22002, kx, MPFR_RNDN);
        mpfr_sin(r22003, r22002, MPFR_RNDN);
        mpfr_set_d(r22004, ky, MPFR_RNDN);
        mpfr_sin(r22005, r22004, MPFR_RNDN);
        mpfr_hypot(r22006, r22003, r22005, MPFR_RNDN);
        mpfr_mul(r22007, r22001, r22006, MPFR_RNDN);
        mpfr_hypot(r22008, r21995, r22007, MPFR_RNDN);
        mpfr_expm1(r22009, r22008, MPFR_RNDN);
        mpfr_log1p(r22010, r22009, MPFR_RNDN);
        mpfr_div(r22011, r21995, r22010, MPFR_RNDN);
        mpfr_add(r22012, r21995, r22011, MPFR_RNDN);
        mpfr_mul(r22013, r21997, r22012, MPFR_RNDN);
        mpfr_sqrt(r22014, r22013, MPFR_RNDN);
        return mpfr_get_d(r22014, MPFR_RNDN);
}

