#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 r19026 = 1.0f;
        float r19027 = 2.0f;
        float r19028 = r19026 / r19027;
        float r19029 = l;
        float r19030 = r19027 * r19029;
        float r19031 = Om;
        float r19032 = r19030 / r19031;
        float r19033 = r19032 * r19032;
        float r19034 = kx;
        float r19035 = sin(r19034);
        float r19036 = r19035 * r19035;
        float r19037 = ky;
        float r19038 = sin(r19037);
        float r19039 = r19038 * r19038;
        float r19040 = r19036 + r19039;
        float r19041 = r19033 * r19040;
        float r19042 = r19026 + r19041;
        float r19043 = sqrt(r19042);
        float r19044 = 1.0/r19043;
        float r19045 = r19026 + r19044;
        float r19046 = r19028 * r19045;
        float r19047 = sqrt(r19046);
        return r19047;
}

double f_id(double l, double Om, double kx, double ky) {
        double r19048 = 1.0;
        double r19049 = 2.0;
        double r19050 = r19048 / r19049;
        double r19051 = l;
        double r19052 = r19049 * r19051;
        double r19053 = Om;
        double r19054 = r19052 / r19053;
        double r19055 = r19054 * r19054;
        double r19056 = kx;
        double r19057 = sin(r19056);
        double r19058 = r19057 * r19057;
        double r19059 = ky;
        double r19060 = sin(r19059);
        double r19061 = r19060 * r19060;
        double r19062 = r19058 + r19061;
        double r19063 = r19055 * r19062;
        double r19064 = r19048 + r19063;
        double r19065 = sqrt(r19064);
        double r19066 = 1.0/r19065;
        double r19067 = r19048 + r19066;
        double r19068 = r19050 * r19067;
        double r19069 = sqrt(r19068);
        return r19069;
}


double f_of(float l, float Om, float kx, float ky) {
        float r19070 = 1.0f;
        float r19071 = 2.0f;
        float r19072 = r19070 / r19071;
        float r19073 = l;
        float r19074 = r19071 * r19073;
        float r19075 = Om;
        float r19076 = r19074 / r19075;
        float r19077 = r19076 * r19076;
        float r19078 = kx;
        float r19079 = sin(r19078);
        float r19080 = r19079 * r19079;
        float r19081 = ky;
        float r19082 = sin(r19081);
        float r19083 = r19082 * r19082;
        float r19084 = r19080 + r19083;
        float r19085 = r19077 * r19084;
        float r19086 = r19070 + r19085;
        float r19087 = sqrt(r19086);
        float r19088 = 1.0/r19087;
        float r19089 = r19070 + r19088;
        float r19090 = r19072 * r19089;
        float r19091 = sqrt(r19090);
        return r19091;
}

double f_od(double l, double Om, double kx, double ky) {
        double r19092 = 1.0;
        double r19093 = 2.0;
        double r19094 = r19092 / r19093;
        double r19095 = l;
        double r19096 = r19093 * r19095;
        double r19097 = Om;
        double r19098 = r19096 / r19097;
        double r19099 = r19098 * r19098;
        double r19100 = kx;
        double r19101 = sin(r19100);
        double r19102 = r19101 * r19101;
        double r19103 = ky;
        double r19104 = sin(r19103);
        double r19105 = r19104 * r19104;
        double r19106 = r19102 + r19105;
        double r19107 = r19099 * r19106;
        double r19108 = r19092 + r19107;
        double r19109 = sqrt(r19108);
        double r19110 = 1.0/r19109;
        double r19111 = r19092 + r19110;
        double r19112 = r19094 * r19111;
        double r19113 = sqrt(r19112);
        return r19113;
}

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 r19114, r19115, r19116, r19117, r19118, r19119, r19120, r19121, r19122, r19123, r19124, r19125, r19126, r19127, r19128, r19129, r19130, r19131, r19132, r19133, r19134, r19135;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r19114, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r19115, "2", 10, MPFR_RNDN);
        mpfr_init(r19116);
        mpfr_init(r19117);
        mpfr_init(r19118);
        mpfr_init(r19119);
        mpfr_init(r19120);
        mpfr_init(r19121);
        mpfr_init(r19122);
        mpfr_init(r19123);
        mpfr_init(r19124);
        mpfr_init(r19125);
        mpfr_init(r19126);
        mpfr_init(r19127);
        mpfr_init(r19128);
        mpfr_init(r19129);
        mpfr_init(r19130);
        mpfr_init(r19131);
        mpfr_init(r19132);
        mpfr_init(r19133);
        mpfr_init(r19134);
        mpfr_init(r19135);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r19116, r19114, r19115, MPFR_RNDN);
        mpfr_set_d(r19117, l, MPFR_RNDN);
        mpfr_mul(r19118, r19115, r19117, MPFR_RNDN);
        mpfr_set_d(r19119, Om, MPFR_RNDN);
        mpfr_div(r19120, r19118, r19119, MPFR_RNDN);
        mpfr_sqr(r19121, r19120, MPFR_RNDN);
        mpfr_set_d(r19122, kx, MPFR_RNDN);
        mpfr_sin(r19123, r19122, MPFR_RNDN);
        mpfr_sqr(r19124, r19123, MPFR_RNDN);
        mpfr_set_d(r19125, ky, MPFR_RNDN);
        mpfr_sin(r19126, r19125, MPFR_RNDN);
        mpfr_sqr(r19127, r19126, MPFR_RNDN);
        mpfr_add(r19128, r19124, r19127, MPFR_RNDN);
        mpfr_mul(r19129, r19121, r19128, MPFR_RNDN);
        mpfr_add(r19130, r19114, r19129, MPFR_RNDN);
        mpfr_sqrt(r19131, r19130, MPFR_RNDN);
        mpfr_ui_div(r19132, 1, r19131, MPFR_RNDN);
        mpfr_add(r19133, r19114, r19132, MPFR_RNDN);
        mpfr_mul(r19134, r19116, r19133, MPFR_RNDN);
        mpfr_sqrt(r19135, r19134, MPFR_RNDN);
        return mpfr_get_d(r19135, MPFR_RNDN);
}

static mpfr_t r19136, r19137, r19138, r19139, r19140, r19141, r19142, r19143, r19144, r19145, r19146, r19147, r19148, r19149, r19150, r19151, r19152, r19153, r19154, r19155, r19156, r19157;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r19136, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r19137, "2", 10, MPFR_RNDN);
        mpfr_init(r19138);
        mpfr_init(r19139);
        mpfr_init(r19140);
        mpfr_init(r19141);
        mpfr_init(r19142);
        mpfr_init(r19143);
        mpfr_init(r19144);
        mpfr_init(r19145);
        mpfr_init(r19146);
        mpfr_init(r19147);
        mpfr_init(r19148);
        mpfr_init(r19149);
        mpfr_init(r19150);
        mpfr_init(r19151);
        mpfr_init(r19152);
        mpfr_init(r19153);
        mpfr_init(r19154);
        mpfr_init(r19155);
        mpfr_init(r19156);
        mpfr_init(r19157);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r19138, r19136, r19137, MPFR_RNDN);
        mpfr_set_d(r19139, l, MPFR_RNDN);
        mpfr_mul(r19140, r19137, r19139, MPFR_RNDN);
        mpfr_set_d(r19141, Om, MPFR_RNDN);
        mpfr_div(r19142, r19140, r19141, MPFR_RNDN);
        mpfr_sqr(r19143, r19142, MPFR_RNDN);
        mpfr_set_d(r19144, kx, MPFR_RNDN);
        mpfr_sin(r19145, r19144, MPFR_RNDN);
        mpfr_sqr(r19146, r19145, MPFR_RNDN);
        mpfr_set_d(r19147, ky, MPFR_RNDN);
        mpfr_sin(r19148, r19147, MPFR_RNDN);
        mpfr_sqr(r19149, r19148, MPFR_RNDN);
        mpfr_add(r19150, r19146, r19149, MPFR_RNDN);
        mpfr_mul(r19151, r19143, r19150, MPFR_RNDN);
        mpfr_add(r19152, r19136, r19151, MPFR_RNDN);
        mpfr_sqrt(r19153, r19152, MPFR_RNDN);
        mpfr_ui_div(r19154, 1, r19153, MPFR_RNDN);
        mpfr_add(r19155, r19136, r19154, MPFR_RNDN);
        mpfr_mul(r19156, r19138, r19155, MPFR_RNDN);
        mpfr_sqrt(r19157, r19156, MPFR_RNDN);
        return mpfr_get_d(r19157, MPFR_RNDN);
}

static mpfr_t r19158, r19159, r19160, r19161, r19162, r19163, r19164, r19165, r19166, r19167, r19168, r19169, r19170, r19171, r19172, r19173, r19174, r19175, r19176, r19177, r19178, r19179;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r19158, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r19159, "2", 10, MPFR_RNDN);
        mpfr_init(r19160);
        mpfr_init(r19161);
        mpfr_init(r19162);
        mpfr_init(r19163);
        mpfr_init(r19164);
        mpfr_init(r19165);
        mpfr_init(r19166);
        mpfr_init(r19167);
        mpfr_init(r19168);
        mpfr_init(r19169);
        mpfr_init(r19170);
        mpfr_init(r19171);
        mpfr_init(r19172);
        mpfr_init(r19173);
        mpfr_init(r19174);
        mpfr_init(r19175);
        mpfr_init(r19176);
        mpfr_init(r19177);
        mpfr_init(r19178);
        mpfr_init(r19179);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r19160, r19158, r19159, MPFR_RNDN);
        mpfr_set_d(r19161, l, MPFR_RNDN);
        mpfr_mul(r19162, r19159, r19161, MPFR_RNDN);
        mpfr_set_d(r19163, Om, MPFR_RNDN);
        mpfr_div(r19164, r19162, r19163, MPFR_RNDN);
        mpfr_sqr(r19165, r19164, MPFR_RNDN);
        mpfr_set_d(r19166, kx, MPFR_RNDN);
        mpfr_sin(r19167, r19166, MPFR_RNDN);
        mpfr_sqr(r19168, r19167, MPFR_RNDN);
        mpfr_set_d(r19169, ky, MPFR_RNDN);
        mpfr_sin(r19170, r19169, MPFR_RNDN);
        mpfr_sqr(r19171, r19170, MPFR_RNDN);
        mpfr_add(r19172, r19168, r19171, MPFR_RNDN);
        mpfr_mul(r19173, r19165, r19172, MPFR_RNDN);
        mpfr_add(r19174, r19158, r19173, MPFR_RNDN);
        mpfr_sqrt(r19175, r19174, MPFR_RNDN);
        mpfr_ui_div(r19176, 1, r19175, MPFR_RNDN);
        mpfr_add(r19177, r19158, r19176, MPFR_RNDN);
        mpfr_mul(r19178, r19160, r19177, MPFR_RNDN);
        mpfr_sqrt(r19179, r19178, MPFR_RNDN);
        return mpfr_get_d(r19179, MPFR_RNDN);
}

