#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 r24813 = 1;
        float r24814 = 2;
        float r24815 = r24813 / r24814;
        float r24816 = l;
        float r24817 = r24814 * r24816;
        float r24818 = Om;
        float r24819 = r24817 / r24818;
        float r24820 = pow(r24819, r24814);
        float r24821 = kx;
        float r24822 = sin(r24821);
        float r24823 = pow(r24822, r24814);
        float r24824 = ky;
        float r24825 = sin(r24824);
        float r24826 = pow(r24825, r24814);
        float r24827 = r24823 + r24826;
        float r24828 = r24820 * r24827;
        float r24829 = r24813 + r24828;
        float r24830 = sqrt(r24829);
        float r24831 = r24813 / r24830;
        float r24832 = r24813 + r24831;
        float r24833 = r24815 * r24832;
        float r24834 = sqrt(r24833);
        return r24834;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24835 = 1;
        double r24836 = 2;
        double r24837 = r24835 / r24836;
        double r24838 = l;
        double r24839 = r24836 * r24838;
        double r24840 = Om;
        double r24841 = r24839 / r24840;
        double r24842 = pow(r24841, r24836);
        double r24843 = kx;
        double r24844 = sin(r24843);
        double r24845 = pow(r24844, r24836);
        double r24846 = ky;
        double r24847 = sin(r24846);
        double r24848 = pow(r24847, r24836);
        double r24849 = r24845 + r24848;
        double r24850 = r24842 * r24849;
        double r24851 = r24835 + r24850;
        double r24852 = sqrt(r24851);
        double r24853 = r24835 / r24852;
        double r24854 = r24835 + r24853;
        double r24855 = r24837 * r24854;
        double r24856 = sqrt(r24855);
        return r24856;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24857 = 1;
        float r24858 = 2;
        float r24859 = r24857 / r24858;
        float r24860 = Om;
        float r24861 = r24858 / r24860;
        float r24862 = l;
        float r24863 = r24861 * r24862;
        float r24864 = r24863 * r24863;
        float r24865 = ky;
        float r24866 = sin(r24865);
        float r24867 = kx;
        float r24868 = sin(r24867);
        float r24869 = r24868 * r24868;
        float r24870 = fma(r24866, r24866, r24869);
        float r24871 = fma(r24864, r24870, r24857);
        float r24872 = cbrt(r24871);
        float r24873 = fabs(r24872);
        float r24874 = r24858 * r24862;
        float r24875 = r24874 / r24860;
        float r24876 = pow(r24875, r24858);
        float r24877 = pow(r24868, r24858);
        float r24878 = pow(r24866, r24858);
        float r24879 = r24877 + r24878;
        float r24880 = r24876 * r24879;
        float r24881 = r24857 + r24880;
        float r24882 = cbrt(r24881);
        float r24883 = sqrt(r24882);
        float r24884 = r24873 * r24883;
        float r24885 = r24857 / r24884;
        float r24886 = r24857 + r24885;
        float r24887 = r24859 * r24886;
        float r24888 = sqrt(r24887);
        return r24888;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24889 = 1;
        double r24890 = 2;
        double r24891 = r24889 / r24890;
        double r24892 = Om;
        double r24893 = r24890 / r24892;
        double r24894 = l;
        double r24895 = r24893 * r24894;
        double r24896 = r24895 * r24895;
        double r24897 = ky;
        double r24898 = sin(r24897);
        double r24899 = kx;
        double r24900 = sin(r24899);
        double r24901 = r24900 * r24900;
        double r24902 = fma(r24898, r24898, r24901);
        double r24903 = fma(r24896, r24902, r24889);
        double r24904 = cbrt(r24903);
        double r24905 = fabs(r24904);
        double r24906 = r24890 * r24894;
        double r24907 = r24906 / r24892;
        double r24908 = pow(r24907, r24890);
        double r24909 = pow(r24900, r24890);
        double r24910 = pow(r24898, r24890);
        double r24911 = r24909 + r24910;
        double r24912 = r24908 * r24911;
        double r24913 = r24889 + r24912;
        double r24914 = cbrt(r24913);
        double r24915 = sqrt(r24914);
        double r24916 = r24905 * r24915;
        double r24917 = r24889 / r24916;
        double r24918 = r24889 + r24917;
        double r24919 = r24891 * r24918;
        double r24920 = sqrt(r24919);
        return r24920;
}

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 r24921, r24922, r24923, r24924, r24925, r24926, r24927, r24928, r24929, r24930, r24931, r24932, r24933, r24934, r24935, r24936, r24937, r24938, r24939, r24940, r24941, r24942;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24921, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24922, "2", 10, MPFR_RNDN);
        mpfr_init(r24923);
        mpfr_init(r24924);
        mpfr_init(r24925);
        mpfr_init(r24926);
        mpfr_init(r24927);
        mpfr_init(r24928);
        mpfr_init(r24929);
        mpfr_init(r24930);
        mpfr_init(r24931);
        mpfr_init(r24932);
        mpfr_init(r24933);
        mpfr_init(r24934);
        mpfr_init(r24935);
        mpfr_init(r24936);
        mpfr_init(r24937);
        mpfr_init(r24938);
        mpfr_init(r24939);
        mpfr_init(r24940);
        mpfr_init(r24941);
        mpfr_init(r24942);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24923, r24921, r24922, MPFR_RNDN);
        mpfr_set_d(r24924, l, MPFR_RNDN);
        mpfr_mul(r24925, r24922, r24924, MPFR_RNDN);
        mpfr_set_d(r24926, Om, MPFR_RNDN);
        mpfr_div(r24927, r24925, r24926, MPFR_RNDN);
        mpfr_pow(r24928, r24927, r24922, MPFR_RNDN);
        mpfr_set_d(r24929, kx, MPFR_RNDN);
        mpfr_sin(r24930, r24929, MPFR_RNDN);
        mpfr_pow(r24931, r24930, r24922, MPFR_RNDN);
        mpfr_set_d(r24932, ky, MPFR_RNDN);
        mpfr_sin(r24933, r24932, MPFR_RNDN);
        mpfr_pow(r24934, r24933, r24922, MPFR_RNDN);
        mpfr_add(r24935, r24931, r24934, MPFR_RNDN);
        mpfr_mul(r24936, r24928, r24935, MPFR_RNDN);
        mpfr_add(r24937, r24921, r24936, MPFR_RNDN);
        mpfr_sqrt(r24938, r24937, MPFR_RNDN);
        mpfr_div(r24939, r24921, r24938, MPFR_RNDN);
        mpfr_add(r24940, r24921, r24939, MPFR_RNDN);
        mpfr_mul(r24941, r24923, r24940, MPFR_RNDN);
        mpfr_sqrt(r24942, r24941, MPFR_RNDN);
        return mpfr_get_d(r24942, MPFR_RNDN);
}

static mpfr_t r24943, r24944, r24945, r24946, r24947, r24948, r24949, r24950, r24951, r24952, r24953, r24954, r24955, r24956, r24957, r24958, r24959, r24960, r24961, r24962, r24963, r24964, r24965, r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24943, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24944, "2", 10, MPFR_RNDN);
        mpfr_init(r24945);
        mpfr_init(r24946);
        mpfr_init(r24947);
        mpfr_init(r24948);
        mpfr_init(r24949);
        mpfr_init(r24950);
        mpfr_init(r24951);
        mpfr_init(r24952);
        mpfr_init(r24953);
        mpfr_init(r24954);
        mpfr_init(r24955);
        mpfr_init(r24956);
        mpfr_init(r24957);
        mpfr_init(r24958);
        mpfr_init(r24959);
        mpfr_init(r24960);
        mpfr_init(r24961);
        mpfr_init(r24962);
        mpfr_init(r24963);
        mpfr_init(r24964);
        mpfr_init(r24965);
        mpfr_init(r24966);
        mpfr_init(r24967);
        mpfr_init(r24968);
        mpfr_init(r24969);
        mpfr_init(r24970);
        mpfr_init(r24971);
        mpfr_init(r24972);
        mpfr_init(r24973);
        mpfr_init(r24974);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24945, r24943, r24944, MPFR_RNDN);
        mpfr_set_d(r24946, Om, MPFR_RNDN);
        mpfr_div(r24947, r24944, r24946, MPFR_RNDN);
        mpfr_set_d(r24948, l, MPFR_RNDN);
        mpfr_mul(r24949, r24947, r24948, MPFR_RNDN);
        mpfr_mul(r24950, r24949, r24949, MPFR_RNDN);
        mpfr_set_d(r24951, ky, MPFR_RNDN);
        mpfr_sin(r24952, r24951, MPFR_RNDN);
        mpfr_set_d(r24953, kx, MPFR_RNDN);
        mpfr_sin(r24954, r24953, MPFR_RNDN);
        mpfr_mul(r24955, r24954, r24954, MPFR_RNDN);
        mpfr_fma(r24956, r24952, r24952, r24955, MPFR_RNDN);
        mpfr_fma(r24957, r24950, r24956, r24943, MPFR_RNDN);
        mpfr_cbrt(r24958, r24957, MPFR_RNDN);
        mpfr_abs(r24959, r24958, MPFR_RNDN);
        mpfr_mul(r24960, r24944, r24948, MPFR_RNDN);
        mpfr_div(r24961, r24960, r24946, MPFR_RNDN);
        mpfr_pow(r24962, r24961, r24944, MPFR_RNDN);
        mpfr_pow(r24963, r24954, r24944, MPFR_RNDN);
        mpfr_pow(r24964, r24952, r24944, MPFR_RNDN);
        mpfr_add(r24965, r24963, r24964, MPFR_RNDN);
        mpfr_mul(r24966, r24962, r24965, MPFR_RNDN);
        mpfr_add(r24967, r24943, r24966, MPFR_RNDN);
        mpfr_cbrt(r24968, r24967, MPFR_RNDN);
        mpfr_sqrt(r24969, r24968, MPFR_RNDN);
        mpfr_mul(r24970, r24959, r24969, MPFR_RNDN);
        mpfr_div(r24971, r24943, r24970, MPFR_RNDN);
        mpfr_add(r24972, r24943, r24971, MPFR_RNDN);
        mpfr_mul(r24973, r24945, r24972, MPFR_RNDN);
        mpfr_sqrt(r24974, r24973, MPFR_RNDN);
        return mpfr_get_d(r24974, MPFR_RNDN);
}

static mpfr_t r24975, r24976, r24977, r24978, r24979, r24980, r24981, r24982, r24983, r24984, r24985, r24986, r24987, r24988, r24989, r24990, r24991, r24992, r24993, r24994, r24995, r24996, r24997, r24998, r24999, r25000, r25001, r25002, r25003, r25004, r25005, r25006;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24975, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24976, "2", 10, MPFR_RNDN);
        mpfr_init(r24977);
        mpfr_init(r24978);
        mpfr_init(r24979);
        mpfr_init(r24980);
        mpfr_init(r24981);
        mpfr_init(r24982);
        mpfr_init(r24983);
        mpfr_init(r24984);
        mpfr_init(r24985);
        mpfr_init(r24986);
        mpfr_init(r24987);
        mpfr_init(r24988);
        mpfr_init(r24989);
        mpfr_init(r24990);
        mpfr_init(r24991);
        mpfr_init(r24992);
        mpfr_init(r24993);
        mpfr_init(r24994);
        mpfr_init(r24995);
        mpfr_init(r24996);
        mpfr_init(r24997);
        mpfr_init(r24998);
        mpfr_init(r24999);
        mpfr_init(r25000);
        mpfr_init(r25001);
        mpfr_init(r25002);
        mpfr_init(r25003);
        mpfr_init(r25004);
        mpfr_init(r25005);
        mpfr_init(r25006);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24977, r24975, r24976, MPFR_RNDN);
        mpfr_set_d(r24978, Om, MPFR_RNDN);
        mpfr_div(r24979, r24976, r24978, MPFR_RNDN);
        mpfr_set_d(r24980, l, MPFR_RNDN);
        mpfr_mul(r24981, r24979, r24980, MPFR_RNDN);
        mpfr_mul(r24982, r24981, r24981, MPFR_RNDN);
        mpfr_set_d(r24983, ky, MPFR_RNDN);
        mpfr_sin(r24984, r24983, MPFR_RNDN);
        mpfr_set_d(r24985, kx, MPFR_RNDN);
        mpfr_sin(r24986, r24985, MPFR_RNDN);
        mpfr_mul(r24987, r24986, r24986, MPFR_RNDN);
        mpfr_fma(r24988, r24984, r24984, r24987, MPFR_RNDN);
        mpfr_fma(r24989, r24982, r24988, r24975, MPFR_RNDN);
        mpfr_cbrt(r24990, r24989, MPFR_RNDN);
        mpfr_abs(r24991, r24990, MPFR_RNDN);
        mpfr_mul(r24992, r24976, r24980, MPFR_RNDN);
        mpfr_div(r24993, r24992, r24978, MPFR_RNDN);
        mpfr_pow(r24994, r24993, r24976, MPFR_RNDN);
        mpfr_pow(r24995, r24986, r24976, MPFR_RNDN);
        mpfr_pow(r24996, r24984, r24976, MPFR_RNDN);
        mpfr_add(r24997, r24995, r24996, MPFR_RNDN);
        mpfr_mul(r24998, r24994, r24997, MPFR_RNDN);
        mpfr_add(r24999, r24975, r24998, MPFR_RNDN);
        mpfr_cbrt(r25000, r24999, MPFR_RNDN);
        mpfr_sqrt(r25001, r25000, MPFR_RNDN);
        mpfr_mul(r25002, r24991, r25001, MPFR_RNDN);
        mpfr_div(r25003, r24975, r25002, MPFR_RNDN);
        mpfr_add(r25004, r24975, r25003, MPFR_RNDN);
        mpfr_mul(r25005, r24977, r25004, MPFR_RNDN);
        mpfr_sqrt(r25006, r25005, MPFR_RNDN);
        return mpfr_get_d(r25006, MPFR_RNDN);
}

