#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3b), real";

double f_if(float kx, float ky, float th) {
        float r18874 = ky;
        float r18875 = sin(r18874);
        float r18876 = kx;
        float r18877 = sin(r18876);
        float r18878 = r18877 * r18877;
        float r18879 = r18875 * r18875;
        float r18880 = r18878 + r18879;
        float r18881 = sqrt(r18880);
        float r18882 = r18875 / r18881;
        float r18883 = th;
        float r18884 = sin(r18883);
        float r18885 = r18882 * r18884;
        return r18885;
}

double f_id(double kx, double ky, double th) {
        double r18886 = ky;
        double r18887 = sin(r18886);
        double r18888 = kx;
        double r18889 = sin(r18888);
        double r18890 = r18889 * r18889;
        double r18891 = r18887 * r18887;
        double r18892 = r18890 + r18891;
        double r18893 = sqrt(r18892);
        double r18894 = r18887 / r18893;
        double r18895 = th;
        double r18896 = sin(r18895);
        double r18897 = r18894 * r18896;
        return r18897;
}


double f_of(float kx, float ky, float th) {
        float r18898 = kx;
        float r18899 = sin(r18898);
        float r18900 = r18899 * r18899;
        float r18901 = ky;
        float r18902 = sin(r18901);
        float r18903 = r18902 * r18902;
        float r18904 = r18900 + r18903;
        float r18905 = 9.8813129168249e-324f;
        bool r18906 = r18904 <= r18905;
        float r18907 = 0.08333333333333333f;
        float r18908 = r18898 * r18898;
        float r18909 = r18908 * r18901;
        float r18910 = r18907 * r18909;
        float r18911 = r18910 + r18901;
        float r18912 = 0.16666666666666666f;
        float r18913 = 3.0f;
        float r18914 = pow(r18901, r18913);
        float r18915 = r18912 * r18914;
        float r18916 = r18911 - r18915;
        float r18917 = r18902 / r18916;
        float r18918 = th;
        float r18919 = sin(r18918);
        float r18920 = r18917 * r18919;
        float r18921 = 1.0f;
        float r18922 = sqrt(r18904);
        float r18923 = r18921 / r18922;
        float r18924 = r18923 * r18919;
        float r18925 = r18902 * r18924;
        float r18926 = r18906 ? r18920 : r18925;
        return r18926;
}

double f_od(double kx, double ky, double th) {
        double r18927 = kx;
        double r18928 = sin(r18927);
        double r18929 = r18928 * r18928;
        double r18930 = ky;
        double r18931 = sin(r18930);
        double r18932 = r18931 * r18931;
        double r18933 = r18929 + r18932;
        double r18934 = 9.8813129168249e-324;
        bool r18935 = r18933 <= r18934;
        double r18936 = 0.08333333333333333;
        double r18937 = r18927 * r18927;
        double r18938 = r18937 * r18930;
        double r18939 = r18936 * r18938;
        double r18940 = r18939 + r18930;
        double r18941 = 0.16666666666666666;
        double r18942 = 3.0;
        double r18943 = pow(r18930, r18942);
        double r18944 = r18941 * r18943;
        double r18945 = r18940 - r18944;
        double r18946 = r18931 / r18945;
        double r18947 = th;
        double r18948 = sin(r18947);
        double r18949 = r18946 * r18948;
        double r18950 = 1.0;
        double r18951 = sqrt(r18933);
        double r18952 = r18950 / r18951;
        double r18953 = r18952 * r18948;
        double r18954 = r18931 * r18953;
        double r18955 = r18935 ? r18949 : r18954;
        return r18955;
}

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 r18956, r18957, r18958, r18959, r18960, r18961, r18962, r18963, r18964, r18965, r18966, r18967;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r18956);
        mpfr_init(r18957);
        mpfr_init(r18958);
        mpfr_init(r18959);
        mpfr_init(r18960);
        mpfr_init(r18961);
        mpfr_init(r18962);
        mpfr_init(r18963);
        mpfr_init(r18964);
        mpfr_init(r18965);
        mpfr_init(r18966);
        mpfr_init(r18967);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r18956, ky, MPFR_RNDN);
        mpfr_sin(r18957, r18956, MPFR_RNDN);
        mpfr_set_d(r18958, kx, MPFR_RNDN);
        mpfr_sin(r18959, r18958, MPFR_RNDN);
        mpfr_sqr(r18960, r18959, MPFR_RNDN);
        mpfr_sqr(r18961, r18957, MPFR_RNDN);
        mpfr_add(r18962, r18960, r18961, MPFR_RNDN);
        mpfr_sqrt(r18963, r18962, MPFR_RNDN);
        mpfr_div(r18964, r18957, r18963, MPFR_RNDN);
        mpfr_set_d(r18965, th, MPFR_RNDN);
        mpfr_sin(r18966, r18965, MPFR_RNDN);
        mpfr_mul(r18967, r18964, r18966, MPFR_RNDN);
        return mpfr_get_d(r18967, MPFR_RNDN);
}

static mpfr_t r18968, r18969, r18970, r18971, r18972, r18973, r18974, r18975, r18976, r18977, r18978, r18979, r18980, r18981, r18982, r18983, r18984, r18985, r18986, r18987, r18988, r18989, r18990, r18991, r18992, r18993, r18994, r18995, r18996;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r18968);
        mpfr_init(r18969);
        mpfr_init(r18970);
        mpfr_init(r18971);
        mpfr_init(r18972);
        mpfr_init(r18973);
        mpfr_init(r18974);
        mpfr_init_set_str(r18975, "9.8813129168249e-324", 10, MPFR_RNDN);
        mpfr_init(r18976);
        mpfr_init_set_str(r18977, "1/12", 10, MPFR_RNDN);
        mpfr_init(r18978);
        mpfr_init(r18979);
        mpfr_init(r18980);
        mpfr_init(r18981);
        mpfr_init_set_str(r18982, "1/6", 10, MPFR_RNDN);
        mpfr_init_set_str(r18983, "3", 10, MPFR_RNDN);
        mpfr_init(r18984);
        mpfr_init(r18985);
        mpfr_init(r18986);
        mpfr_init(r18987);
        mpfr_init(r18988);
        mpfr_init(r18989);
        mpfr_init(r18990);
        mpfr_init_set_str(r18991, "1", 10, MPFR_RNDN);
        mpfr_init(r18992);
        mpfr_init(r18993);
        mpfr_init(r18994);
        mpfr_init(r18995);
        mpfr_init(r18996);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r18968, kx, MPFR_RNDN);
        mpfr_sin(r18969, r18968, MPFR_RNDN);
        mpfr_sqr(r18970, r18969, MPFR_RNDN);
        mpfr_set_d(r18971, ky, MPFR_RNDN);
        mpfr_sin(r18972, r18971, MPFR_RNDN);
        mpfr_sqr(r18973, r18972, MPFR_RNDN);
        mpfr_add(r18974, r18970, r18973, MPFR_RNDN);
        ;
        mpfr_set_si(r18976, mpfr_cmp(r18974, r18975) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r18978, r18968, MPFR_RNDN);
        mpfr_mul(r18979, r18978, r18971, MPFR_RNDN);
        mpfr_mul(r18980, r18977, r18979, MPFR_RNDN);
        mpfr_add(r18981, r18980, r18971, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r18984, r18971, r18983, MPFR_RNDN);
        mpfr_mul(r18985, r18982, r18984, MPFR_RNDN);
        mpfr_sub(r18986, r18981, r18985, MPFR_RNDN);
        mpfr_div(r18987, r18972, r18986, MPFR_RNDN);
        mpfr_set_d(r18988, th, MPFR_RNDN);
        mpfr_sin(r18989, r18988, MPFR_RNDN);
        mpfr_mul(r18990, r18987, r18989, MPFR_RNDN);
        ;
        mpfr_sqrt(r18992, r18974, MPFR_RNDN);
        mpfr_div(r18993, r18991, r18992, MPFR_RNDN);
        mpfr_mul(r18994, r18993, r18989, MPFR_RNDN);
        mpfr_mul(r18995, r18972, r18994, MPFR_RNDN);
        if (mpfr_get_si(r18976, MPFR_RNDN)) { mpfr_set(r18996, r18990, MPFR_RNDN); } else { mpfr_set(r18996, r18995, MPFR_RNDN); };
        return mpfr_get_d(r18996, MPFR_RNDN);
}

static mpfr_t r18997, r18998, r18999, r19000, r19001, r19002, r19003, r19004, r19005, r19006, r19007, r19008, r19009, r19010, r19011, r19012, r19013, r19014, r19015, r19016, r19017, r19018, r19019, r19020, r19021, r19022, r19023, r19024, r19025;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r18997);
        mpfr_init(r18998);
        mpfr_init(r18999);
        mpfr_init(r19000);
        mpfr_init(r19001);
        mpfr_init(r19002);
        mpfr_init(r19003);
        mpfr_init_set_str(r19004, "9.8813129168249e-324", 10, MPFR_RNDN);
        mpfr_init(r19005);
        mpfr_init_set_str(r19006, "1/12", 10, MPFR_RNDN);
        mpfr_init(r19007);
        mpfr_init(r19008);
        mpfr_init(r19009);
        mpfr_init(r19010);
        mpfr_init_set_str(r19011, "1/6", 10, MPFR_RNDN);
        mpfr_init_set_str(r19012, "3", 10, MPFR_RNDN);
        mpfr_init(r19013);
        mpfr_init(r19014);
        mpfr_init(r19015);
        mpfr_init(r19016);
        mpfr_init(r19017);
        mpfr_init(r19018);
        mpfr_init(r19019);
        mpfr_init_set_str(r19020, "1", 10, MPFR_RNDN);
        mpfr_init(r19021);
        mpfr_init(r19022);
        mpfr_init(r19023);
        mpfr_init(r19024);
        mpfr_init(r19025);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r18997, kx, MPFR_RNDN);
        mpfr_sin(r18998, r18997, MPFR_RNDN);
        mpfr_sqr(r18999, r18998, MPFR_RNDN);
        mpfr_set_d(r19000, ky, MPFR_RNDN);
        mpfr_sin(r19001, r19000, MPFR_RNDN);
        mpfr_sqr(r19002, r19001, MPFR_RNDN);
        mpfr_add(r19003, r18999, r19002, MPFR_RNDN);
        ;
        mpfr_set_si(r19005, mpfr_cmp(r19003, r19004) <= 0, MPFR_RNDN);
        ;
        mpfr_sqr(r19007, r18997, MPFR_RNDN);
        mpfr_mul(r19008, r19007, r19000, MPFR_RNDN);
        mpfr_mul(r19009, r19006, r19008, MPFR_RNDN);
        mpfr_add(r19010, r19009, r19000, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r19013, r19000, r19012, MPFR_RNDN);
        mpfr_mul(r19014, r19011, r19013, MPFR_RNDN);
        mpfr_sub(r19015, r19010, r19014, MPFR_RNDN);
        mpfr_div(r19016, r19001, r19015, MPFR_RNDN);
        mpfr_set_d(r19017, th, MPFR_RNDN);
        mpfr_sin(r19018, r19017, MPFR_RNDN);
        mpfr_mul(r19019, r19016, r19018, MPFR_RNDN);
        ;
        mpfr_sqrt(r19021, r19003, MPFR_RNDN);
        mpfr_div(r19022, r19020, r19021, MPFR_RNDN);
        mpfr_mul(r19023, r19022, r19018, MPFR_RNDN);
        mpfr_mul(r19024, r19001, r19023, MPFR_RNDN);
        if (mpfr_get_si(r19005, MPFR_RNDN)) { mpfr_set(r19025, r19019, MPFR_RNDN); } else { mpfr_set(r19025, r19024, MPFR_RNDN); };
        return mpfr_get_d(r19025, MPFR_RNDN);
}