#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 r24938 = 1;
        float r24939 = 2;
        float r24940 = r24938 / r24939;
        float r24941 = l;
        float r24942 = r24939 * r24941;
        float r24943 = Om;
        float r24944 = r24942 / r24943;
        float r24945 = pow(r24944, r24939);
        float r24946 = kx;
        float r24947 = sin(r24946);
        float r24948 = pow(r24947, r24939);
        float r24949 = ky;
        float r24950 = sin(r24949);
        float r24951 = pow(r24950, r24939);
        float r24952 = r24948 + r24951;
        float r24953 = r24945 * r24952;
        float r24954 = r24938 + r24953;
        float r24955 = sqrt(r24954);
        float r24956 = r24938 / r24955;
        float r24957 = r24938 + r24956;
        float r24958 = r24940 * r24957;
        float r24959 = sqrt(r24958);
        return r24959;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24960 = 1;
        double r24961 = 2;
        double r24962 = r24960 / r24961;
        double r24963 = l;
        double r24964 = r24961 * r24963;
        double r24965 = Om;
        double r24966 = r24964 / r24965;
        double r24967 = pow(r24966, r24961);
        double r24968 = kx;
        double r24969 = sin(r24968);
        double r24970 = pow(r24969, r24961);
        double r24971 = ky;
        double r24972 = sin(r24971);
        double r24973 = pow(r24972, r24961);
        double r24974 = r24970 + r24973;
        double r24975 = r24967 * r24974;
        double r24976 = r24960 + r24975;
        double r24977 = sqrt(r24976);
        double r24978 = r24960 / r24977;
        double r24979 = r24960 + r24978;
        double r24980 = r24962 * r24979;
        double r24981 = sqrt(r24980);
        return r24981;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24982 = 1;
        float r24983 = 2;
        float r24984 = r24982 / r24983;
        float r24985 = l;
        float r24986 = r24983 * r24985;
        float r24987 = Om;
        float r24988 = r24986 / r24987;
        float r24989 = cbrt(r24988);
        float r24990 = r24989 * r24989;
        float r24991 = pow(r24990, r24983);
        float r24992 = pow(r24989, r24983);
        float r24993 = kx;
        float r24994 = sin(r24993);
        float r24995 = pow(r24994, r24983);
        float r24996 = ky;
        float r24997 = sin(r24996);
        float r24998 = pow(r24997, r24983);
        float r24999 = r24995 + r24998;
        float r25000 = r24992 * r24999;
        float r25001 = r24991 * r25000;
        float r25002 = r24982 + r25001;
        float r25003 = sqrt(r25002);
        float r25004 = r24982 / r25003;
        float r25005 = r24982 + r25004;
        float r25006 = r24984 * r25005;
        float r25007 = sqrt(r25006);
        return r25007;
}

double f_od(double l, double Om, double kx, double ky) {
        double r25008 = 1;
        double r25009 = 2;
        double r25010 = r25008 / r25009;
        double r25011 = l;
        double r25012 = r25009 * r25011;
        double r25013 = Om;
        double r25014 = r25012 / r25013;
        double r25015 = cbrt(r25014);
        double r25016 = r25015 * r25015;
        double r25017 = pow(r25016, r25009);
        double r25018 = pow(r25015, r25009);
        double r25019 = kx;
        double r25020 = sin(r25019);
        double r25021 = pow(r25020, r25009);
        double r25022 = ky;
        double r25023 = sin(r25022);
        double r25024 = pow(r25023, r25009);
        double r25025 = r25021 + r25024;
        double r25026 = r25018 * r25025;
        double r25027 = r25017 * r25026;
        double r25028 = r25008 + r25027;
        double r25029 = sqrt(r25028);
        double r25030 = r25008 / r25029;
        double r25031 = r25008 + r25030;
        double r25032 = r25010 * r25031;
        double r25033 = sqrt(r25032);
        return r25033;
}

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 r25034, r25035, r25036, r25037, r25038, r25039, r25040, r25041, r25042, r25043, r25044, r25045, r25046, r25047, r25048, r25049, r25050, r25051, r25052, r25053, r25054, r25055;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r25034, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r25035, "2", 10, MPFR_RNDN);
        mpfr_init(r25036);
        mpfr_init(r25037);
        mpfr_init(r25038);
        mpfr_init(r25039);
        mpfr_init(r25040);
        mpfr_init(r25041);
        mpfr_init(r25042);
        mpfr_init(r25043);
        mpfr_init(r25044);
        mpfr_init(r25045);
        mpfr_init(r25046);
        mpfr_init(r25047);
        mpfr_init(r25048);
        mpfr_init(r25049);
        mpfr_init(r25050);
        mpfr_init(r25051);
        mpfr_init(r25052);
        mpfr_init(r25053);
        mpfr_init(r25054);
        mpfr_init(r25055);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r25036, r25034, r25035, MPFR_RNDN);
        mpfr_set_d(r25037, l, MPFR_RNDN);
        mpfr_mul(r25038, r25035, r25037, MPFR_RNDN);
        mpfr_set_d(r25039, Om, MPFR_RNDN);
        mpfr_div(r25040, r25038, r25039, MPFR_RNDN);
        mpfr_pow(r25041, r25040, r25035, MPFR_RNDN);
        mpfr_set_d(r25042, kx, MPFR_RNDN);
        mpfr_sin(r25043, r25042, MPFR_RNDN);
        mpfr_pow(r25044, r25043, r25035, MPFR_RNDN);
        mpfr_set_d(r25045, ky, MPFR_RNDN);
        mpfr_sin(r25046, r25045, MPFR_RNDN);
        mpfr_pow(r25047, r25046, r25035, MPFR_RNDN);
        mpfr_add(r25048, r25044, r25047, MPFR_RNDN);
        mpfr_mul(r25049, r25041, r25048, MPFR_RNDN);
        mpfr_add(r25050, r25034, r25049, MPFR_RNDN);
        mpfr_sqrt(r25051, r25050, MPFR_RNDN);
        mpfr_div(r25052, r25034, r25051, MPFR_RNDN);
        mpfr_add(r25053, r25034, r25052, MPFR_RNDN);
        mpfr_mul(r25054, r25036, r25053, MPFR_RNDN);
        mpfr_sqrt(r25055, r25054, MPFR_RNDN);
        return mpfr_get_d(r25055, MPFR_RNDN);
}

static mpfr_t r25056, r25057, r25058, r25059, r25060, r25061, r25062, r25063, r25064, r25065, r25066, r25067, r25068, r25069, r25070, r25071, r25072, r25073, r25074, r25075, r25076, r25077, r25078, r25079, r25080, r25081;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r25056, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r25057, "2", 10, MPFR_RNDN);
        mpfr_init(r25058);
        mpfr_init(r25059);
        mpfr_init(r25060);
        mpfr_init(r25061);
        mpfr_init(r25062);
        mpfr_init(r25063);
        mpfr_init(r25064);
        mpfr_init(r25065);
        mpfr_init(r25066);
        mpfr_init(r25067);
        mpfr_init(r25068);
        mpfr_init(r25069);
        mpfr_init(r25070);
        mpfr_init(r25071);
        mpfr_init(r25072);
        mpfr_init(r25073);
        mpfr_init(r25074);
        mpfr_init(r25075);
        mpfr_init(r25076);
        mpfr_init(r25077);
        mpfr_init(r25078);
        mpfr_init(r25079);
        mpfr_init(r25080);
        mpfr_init(r25081);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r25058, r25056, r25057, MPFR_RNDN);
        mpfr_set_d(r25059, l, MPFR_RNDN);
        mpfr_mul(r25060, r25057, r25059, MPFR_RNDN);
        mpfr_set_d(r25061, Om, MPFR_RNDN);
        mpfr_div(r25062, r25060, r25061, MPFR_RNDN);
        mpfr_cbrt(r25063, r25062, MPFR_RNDN);
        mpfr_mul(r25064, r25063, r25063, MPFR_RNDN);
        mpfr_pow(r25065, r25064, r25057, MPFR_RNDN);
        mpfr_pow(r25066, r25063, r25057, MPFR_RNDN);
        mpfr_set_d(r25067, kx, MPFR_RNDN);
        mpfr_sin(r25068, r25067, MPFR_RNDN);
        mpfr_pow(r25069, r25068, r25057, MPFR_RNDN);
        mpfr_set_d(r25070, ky, MPFR_RNDN);
        mpfr_sin(r25071, r25070, MPFR_RNDN);
        mpfr_pow(r25072, r25071, r25057, MPFR_RNDN);
        mpfr_add(r25073, r25069, r25072, MPFR_RNDN);
        mpfr_mul(r25074, r25066, r25073, MPFR_RNDN);
        mpfr_mul(r25075, r25065, r25074, MPFR_RNDN);
        mpfr_add(r25076, r25056, r25075, MPFR_RNDN);
        mpfr_sqrt(r25077, r25076, MPFR_RNDN);
        mpfr_div(r25078, r25056, r25077, MPFR_RNDN);
        mpfr_add(r25079, r25056, r25078, MPFR_RNDN);
        mpfr_mul(r25080, r25058, r25079, MPFR_RNDN);
        mpfr_sqrt(r25081, r25080, MPFR_RNDN);
        return mpfr_get_d(r25081, MPFR_RNDN);
}

static mpfr_t r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094, r25095, r25096, r25097, r25098, r25099, r25100, r25101, r25102, r25103, r25104, r25105, r25106, r25107;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r25082, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r25083, "2", 10, MPFR_RNDN);
        mpfr_init(r25084);
        mpfr_init(r25085);
        mpfr_init(r25086);
        mpfr_init(r25087);
        mpfr_init(r25088);
        mpfr_init(r25089);
        mpfr_init(r25090);
        mpfr_init(r25091);
        mpfr_init(r25092);
        mpfr_init(r25093);
        mpfr_init(r25094);
        mpfr_init(r25095);
        mpfr_init(r25096);
        mpfr_init(r25097);
        mpfr_init(r25098);
        mpfr_init(r25099);
        mpfr_init(r25100);
        mpfr_init(r25101);
        mpfr_init(r25102);
        mpfr_init(r25103);
        mpfr_init(r25104);
        mpfr_init(r25105);
        mpfr_init(r25106);
        mpfr_init(r25107);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r25084, r25082, r25083, MPFR_RNDN);
        mpfr_set_d(r25085, l, MPFR_RNDN);
        mpfr_mul(r25086, r25083, r25085, MPFR_RNDN);
        mpfr_set_d(r25087, Om, MPFR_RNDN);
        mpfr_div(r25088, r25086, r25087, MPFR_RNDN);
        mpfr_cbrt(r25089, r25088, MPFR_RNDN);
        mpfr_mul(r25090, r25089, r25089, MPFR_RNDN);
        mpfr_pow(r25091, r25090, r25083, MPFR_RNDN);
        mpfr_pow(r25092, r25089, r25083, MPFR_RNDN);
        mpfr_set_d(r25093, kx, MPFR_RNDN);
        mpfr_sin(r25094, r25093, MPFR_RNDN);
        mpfr_pow(r25095, r25094, r25083, MPFR_RNDN);
        mpfr_set_d(r25096, ky, MPFR_RNDN);
        mpfr_sin(r25097, r25096, MPFR_RNDN);
        mpfr_pow(r25098, r25097, r25083, MPFR_RNDN);
        mpfr_add(r25099, r25095, r25098, MPFR_RNDN);
        mpfr_mul(r25100, r25092, r25099, MPFR_RNDN);
        mpfr_mul(r25101, r25091, r25100, MPFR_RNDN);
        mpfr_add(r25102, r25082, r25101, MPFR_RNDN);
        mpfr_sqrt(r25103, r25102, MPFR_RNDN);
        mpfr_div(r25104, r25082, r25103, MPFR_RNDN);
        mpfr_add(r25105, r25082, r25104, MPFR_RNDN);
        mpfr_mul(r25106, r25084, r25105, MPFR_RNDN);
        mpfr_sqrt(r25107, r25106, MPFR_RNDN);
        return mpfr_get_d(r25107, MPFR_RNDN);
}

