#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 r22156 = 1;
        float r22157 = 2;
        float r22158 = r22156 / r22157;
        float r22159 = l;
        float r22160 = r22157 * r22159;
        float r22161 = Om;
        float r22162 = r22160 / r22161;
        float r22163 = pow(r22162, r22157);
        float r22164 = kx;
        float r22165 = sin(r22164);
        float r22166 = pow(r22165, r22157);
        float r22167 = ky;
        float r22168 = sin(r22167);
        float r22169 = pow(r22168, r22157);
        float r22170 = r22166 + r22169;
        float r22171 = r22163 * r22170;
        float r22172 = r22156 + r22171;
        float r22173 = sqrt(r22172);
        float r22174 = r22156 / r22173;
        float r22175 = r22156 + r22174;
        float r22176 = r22158 * r22175;
        float r22177 = sqrt(r22176);
        return r22177;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22178 = 1;
        double r22179 = 2;
        double r22180 = r22178 / r22179;
        double r22181 = l;
        double r22182 = r22179 * r22181;
        double r22183 = Om;
        double r22184 = r22182 / r22183;
        double r22185 = pow(r22184, r22179);
        double r22186 = kx;
        double r22187 = sin(r22186);
        double r22188 = pow(r22187, r22179);
        double r22189 = ky;
        double r22190 = sin(r22189);
        double r22191 = pow(r22190, r22179);
        double r22192 = r22188 + r22191;
        double r22193 = r22185 * r22192;
        double r22194 = r22178 + r22193;
        double r22195 = sqrt(r22194);
        double r22196 = r22178 / r22195;
        double r22197 = r22178 + r22196;
        double r22198 = r22180 * r22197;
        double r22199 = sqrt(r22198);
        return r22199;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22200 = 1;
        float r22201 = 2;
        float r22202 = r22200 / r22201;
        float r22203 = l;
        float r22204 = r22201 * r22203;
        float r22205 = Om;
        float r22206 = r22204 / r22205;
        float r22207 = kx;
        float r22208 = sin(r22207);
        float r22209 = pow(r22208, r22201);
        float r22210 = ky;
        float r22211 = sin(r22210);
        float r22212 = pow(r22211, r22201);
        float r22213 = r22209 + r22212;
        float r22214 = r22206 * r22213;
        float r22215 = r22206 * r22214;
        float r22216 = r22200 + r22215;
        float r22217 = sqrt(r22216);
        float r22218 = r22200 / r22217;
        float r22219 = r22200 + r22218;
        float r22220 = r22202 * r22219;
        float r22221 = sqrt(r22220);
        return r22221;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22222 = 1;
        double r22223 = 2;
        double r22224 = r22222 / r22223;
        double r22225 = l;
        double r22226 = r22223 * r22225;
        double r22227 = Om;
        double r22228 = r22226 / r22227;
        double r22229 = kx;
        double r22230 = sin(r22229);
        double r22231 = pow(r22230, r22223);
        double r22232 = ky;
        double r22233 = sin(r22232);
        double r22234 = pow(r22233, r22223);
        double r22235 = r22231 + r22234;
        double r22236 = r22228 * r22235;
        double r22237 = r22228 * r22236;
        double r22238 = r22222 + r22237;
        double r22239 = sqrt(r22238);
        double r22240 = r22222 / r22239;
        double r22241 = r22222 + r22240;
        double r22242 = r22224 * r22241;
        double r22243 = sqrt(r22242);
        return r22243;
}

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 r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22244, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22245, "2", 10, MPFR_RNDN);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22246, r22244, r22245, MPFR_RNDN);
        mpfr_set_d(r22247, l, MPFR_RNDN);
        mpfr_mul(r22248, r22245, r22247, MPFR_RNDN);
        mpfr_set_d(r22249, Om, MPFR_RNDN);
        mpfr_div(r22250, r22248, r22249, MPFR_RNDN);
        mpfr_pow(r22251, r22250, r22245, MPFR_RNDN);
        mpfr_set_d(r22252, kx, MPFR_RNDN);
        mpfr_sin(r22253, r22252, MPFR_RNDN);
        mpfr_pow(r22254, r22253, r22245, MPFR_RNDN);
        mpfr_set_d(r22255, ky, MPFR_RNDN);
        mpfr_sin(r22256, r22255, MPFR_RNDN);
        mpfr_pow(r22257, r22256, r22245, MPFR_RNDN);
        mpfr_add(r22258, r22254, r22257, MPFR_RNDN);
        mpfr_mul(r22259, r22251, r22258, MPFR_RNDN);
        mpfr_add(r22260, r22244, r22259, MPFR_RNDN);
        mpfr_sqrt(r22261, r22260, MPFR_RNDN);
        mpfr_div(r22262, r22244, r22261, MPFR_RNDN);
        mpfr_add(r22263, r22244, r22262, MPFR_RNDN);
        mpfr_mul(r22264, r22246, r22263, MPFR_RNDN);
        mpfr_sqrt(r22265, r22264, MPFR_RNDN);
        return mpfr_get_d(r22265, MPFR_RNDN);
}

static mpfr_t r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22266, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22267, "2", 10, MPFR_RNDN);
        mpfr_init(r22268);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22268, r22266, r22267, MPFR_RNDN);
        mpfr_set_d(r22269, l, MPFR_RNDN);
        mpfr_mul(r22270, r22267, r22269, MPFR_RNDN);
        mpfr_set_d(r22271, Om, MPFR_RNDN);
        mpfr_div(r22272, r22270, r22271, MPFR_RNDN);
        mpfr_set_d(r22273, kx, MPFR_RNDN);
        mpfr_sin(r22274, r22273, MPFR_RNDN);
        mpfr_pow(r22275, r22274, r22267, MPFR_RNDN);
        mpfr_set_d(r22276, ky, MPFR_RNDN);
        mpfr_sin(r22277, r22276, MPFR_RNDN);
        mpfr_pow(r22278, r22277, r22267, MPFR_RNDN);
        mpfr_add(r22279, r22275, r22278, MPFR_RNDN);
        mpfr_mul(r22280, r22272, r22279, MPFR_RNDN);
        mpfr_mul(r22281, r22272, r22280, MPFR_RNDN);
        mpfr_add(r22282, r22266, r22281, MPFR_RNDN);
        mpfr_sqrt(r22283, r22282, MPFR_RNDN);
        mpfr_div(r22284, r22266, r22283, MPFR_RNDN);
        mpfr_add(r22285, r22266, r22284, MPFR_RNDN);
        mpfr_mul(r22286, r22268, r22285, MPFR_RNDN);
        mpfr_sqrt(r22287, r22286, MPFR_RNDN);
        return mpfr_get_d(r22287, MPFR_RNDN);
}

static mpfr_t r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22288, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22289, "2", 10, MPFR_RNDN);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
        mpfr_init(r22309);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22290, r22288, r22289, MPFR_RNDN);
        mpfr_set_d(r22291, l, MPFR_RNDN);
        mpfr_mul(r22292, r22289, r22291, MPFR_RNDN);
        mpfr_set_d(r22293, Om, MPFR_RNDN);
        mpfr_div(r22294, r22292, r22293, MPFR_RNDN);
        mpfr_set_d(r22295, kx, MPFR_RNDN);
        mpfr_sin(r22296, r22295, MPFR_RNDN);
        mpfr_pow(r22297, r22296, r22289, MPFR_RNDN);
        mpfr_set_d(r22298, ky, MPFR_RNDN);
        mpfr_sin(r22299, r22298, MPFR_RNDN);
        mpfr_pow(r22300, r22299, r22289, MPFR_RNDN);
        mpfr_add(r22301, r22297, r22300, MPFR_RNDN);
        mpfr_mul(r22302, r22294, r22301, MPFR_RNDN);
        mpfr_mul(r22303, r22294, r22302, MPFR_RNDN);
        mpfr_add(r22304, r22288, r22303, MPFR_RNDN);
        mpfr_sqrt(r22305, r22304, MPFR_RNDN);
        mpfr_div(r22306, r22288, r22305, MPFR_RNDN);
        mpfr_add(r22307, r22288, r22306, MPFR_RNDN);
        mpfr_mul(r22308, r22290, r22307, MPFR_RNDN);
        mpfr_sqrt(r22309, r22308, MPFR_RNDN);
        return mpfr_get_d(r22309, MPFR_RNDN);
}

