#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 r21864 = 1;
        float r21865 = 2;
        float r21866 = r21864 / r21865;
        float r21867 = l;
        float r21868 = r21865 * r21867;
        float r21869 = Om;
        float r21870 = r21868 / r21869;
        float r21871 = pow(r21870, r21865);
        float r21872 = kx;
        float r21873 = sin(r21872);
        float r21874 = pow(r21873, r21865);
        float r21875 = ky;
        float r21876 = sin(r21875);
        float r21877 = pow(r21876, r21865);
        float r21878 = r21874 + r21877;
        float r21879 = r21871 * r21878;
        float r21880 = r21864 + r21879;
        float r21881 = sqrt(r21880);
        float r21882 = r21864 / r21881;
        float r21883 = r21864 + r21882;
        float r21884 = r21866 * r21883;
        float r21885 = sqrt(r21884);
        return r21885;
}

double f_id(double l, double Om, double kx, double ky) {
        double r21886 = 1;
        double r21887 = 2;
        double r21888 = r21886 / r21887;
        double r21889 = l;
        double r21890 = r21887 * r21889;
        double r21891 = Om;
        double r21892 = r21890 / r21891;
        double r21893 = pow(r21892, r21887);
        double r21894 = kx;
        double r21895 = sin(r21894);
        double r21896 = pow(r21895, r21887);
        double r21897 = ky;
        double r21898 = sin(r21897);
        double r21899 = pow(r21898, r21887);
        double r21900 = r21896 + r21899;
        double r21901 = r21893 * r21900;
        double r21902 = r21886 + r21901;
        double r21903 = sqrt(r21902);
        double r21904 = r21886 / r21903;
        double r21905 = r21886 + r21904;
        double r21906 = r21888 * r21905;
        double r21907 = sqrt(r21906);
        return r21907;
}


double f_of(float l, float Om, float kx, float ky) {
        float r21908 = 1;
        float r21909 = 2;
        float r21910 = r21908 / r21909;
        float r21911 = l;
        float r21912 = Om;
        float r21913 = r21912 / r21909;
        float r21914 = r21911 / r21913;
        float r21915 = kx;
        float r21916 = sin(r21915);
        float r21917 = ky;
        float r21918 = sin(r21917);
        float r21919 = hypot(r21916, r21918);
        float r21920 = r21914 * r21919;
        float r21921 = hypot(r21908, r21920);
        float r21922 = expm1(r21921);
        float r21923 = log1p(r21922);
        float r21924 = r21908 / r21923;
        float r21925 = r21908 + r21924;
        float r21926 = r21910 * r21925;
        float r21927 = sqrt(r21926);
        return r21927;
}

double f_od(double l, double Om, double kx, double ky) {
        double r21928 = 1;
        double r21929 = 2;
        double r21930 = r21928 / r21929;
        double r21931 = l;
        double r21932 = Om;
        double r21933 = r21932 / r21929;
        double r21934 = r21931 / r21933;
        double r21935 = kx;
        double r21936 = sin(r21935);
        double r21937 = ky;
        double r21938 = sin(r21937);
        double r21939 = hypot(r21936, r21938);
        double r21940 = r21934 * r21939;
        double r21941 = hypot(r21928, r21940);
        double r21942 = expm1(r21941);
        double r21943 = log1p(r21942);
        double r21944 = r21928 / r21943;
        double r21945 = r21928 + r21944;
        double r21946 = r21930 * r21945;
        double r21947 = sqrt(r21946);
        return r21947;
}

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 r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21948, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21949, "2", 10, MPFR_RNDN);
        mpfr_init(r21950);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        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);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21950, r21948, r21949, MPFR_RNDN);
        mpfr_set_d(r21951, l, MPFR_RNDN);
        mpfr_mul(r21952, r21949, r21951, MPFR_RNDN);
        mpfr_set_d(r21953, Om, MPFR_RNDN);
        mpfr_div(r21954, r21952, r21953, MPFR_RNDN);
        mpfr_pow(r21955, r21954, r21949, MPFR_RNDN);
        mpfr_set_d(r21956, kx, MPFR_RNDN);
        mpfr_sin(r21957, r21956, MPFR_RNDN);
        mpfr_pow(r21958, r21957, r21949, MPFR_RNDN);
        mpfr_set_d(r21959, ky, MPFR_RNDN);
        mpfr_sin(r21960, r21959, MPFR_RNDN);
        mpfr_pow(r21961, r21960, r21949, MPFR_RNDN);
        mpfr_add(r21962, r21958, r21961, MPFR_RNDN);
        mpfr_mul(r21963, r21955, r21962, MPFR_RNDN);
        mpfr_add(r21964, r21948, r21963, MPFR_RNDN);
        mpfr_sqrt(r21965, r21964, MPFR_RNDN);
        mpfr_div(r21966, r21948, r21965, MPFR_RNDN);
        mpfr_add(r21967, r21948, r21966, MPFR_RNDN);
        mpfr_mul(r21968, r21950, r21967, MPFR_RNDN);
        mpfr_sqrt(r21969, r21968, MPFR_RNDN);
        return mpfr_get_d(r21969, MPFR_RNDN);
}

static mpfr_t r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21970, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21971, "2", 10, MPFR_RNDN);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init(r21975);
        mpfr_init(r21976);
        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);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21972, r21970, r21971, MPFR_RNDN);
        mpfr_set_d(r21973, l, MPFR_RNDN);
        mpfr_set_d(r21974, Om, MPFR_RNDN);
        mpfr_div(r21975, r21974, r21971, MPFR_RNDN);
        mpfr_div(r21976, r21973, r21975, MPFR_RNDN);
        mpfr_set_d(r21977, kx, MPFR_RNDN);
        mpfr_sin(r21978, r21977, MPFR_RNDN);
        mpfr_set_d(r21979, ky, MPFR_RNDN);
        mpfr_sin(r21980, r21979, MPFR_RNDN);
        mpfr_hypot(r21981, r21978, r21980, MPFR_RNDN);
        mpfr_mul(r21982, r21976, r21981, MPFR_RNDN);
        mpfr_hypot(r21983, r21970, r21982, MPFR_RNDN);
        mpfr_expm1(r21984, r21983, MPFR_RNDN);
        mpfr_log1p(r21985, r21984, MPFR_RNDN);
        mpfr_div(r21986, r21970, r21985, MPFR_RNDN);
        mpfr_add(r21987, r21970, r21986, MPFR_RNDN);
        mpfr_mul(r21988, r21972, r21987, MPFR_RNDN);
        mpfr_sqrt(r21989, r21988, MPFR_RNDN);
        return mpfr_get_d(r21989, MPFR_RNDN);
}

static mpfr_t r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r21990, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21991, "2", 10, MPFR_RNDN);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
        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);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r21992, r21990, r21991, MPFR_RNDN);
        mpfr_set_d(r21993, l, MPFR_RNDN);
        mpfr_set_d(r21994, Om, MPFR_RNDN);
        mpfr_div(r21995, r21994, r21991, MPFR_RNDN);
        mpfr_div(r21996, r21993, r21995, MPFR_RNDN);
        mpfr_set_d(r21997, kx, MPFR_RNDN);
        mpfr_sin(r21998, r21997, MPFR_RNDN);
        mpfr_set_d(r21999, ky, MPFR_RNDN);
        mpfr_sin(r22000, r21999, MPFR_RNDN);
        mpfr_hypot(r22001, r21998, r22000, MPFR_RNDN);
        mpfr_mul(r22002, r21996, r22001, MPFR_RNDN);
        mpfr_hypot(r22003, r21990, r22002, MPFR_RNDN);
        mpfr_expm1(r22004, r22003, MPFR_RNDN);
        mpfr_log1p(r22005, r22004, MPFR_RNDN);
        mpfr_div(r22006, r21990, r22005, MPFR_RNDN);
        mpfr_add(r22007, r21990, r22006, MPFR_RNDN);
        mpfr_mul(r22008, r21992, r22007, MPFR_RNDN);
        mpfr_sqrt(r22009, r22008, MPFR_RNDN);
        return mpfr_get_d(r22009, MPFR_RNDN);
}

