#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 r22149 = 1;
        float r22150 = 2;
        float r22151 = r22149 / r22150;
        float r22152 = l;
        float r22153 = r22150 * r22152;
        float r22154 = Om;
        float r22155 = r22153 / r22154;
        float r22156 = pow(r22155, r22150);
        float r22157 = kx;
        float r22158 = sin(r22157);
        float r22159 = pow(r22158, r22150);
        float r22160 = ky;
        float r22161 = sin(r22160);
        float r22162 = pow(r22161, r22150);
        float r22163 = r22159 + r22162;
        float r22164 = r22156 * r22163;
        float r22165 = r22149 + r22164;
        float r22166 = sqrt(r22165);
        float r22167 = r22149 / r22166;
        float r22168 = r22149 + r22167;
        float r22169 = r22151 * r22168;
        float r22170 = sqrt(r22169);
        return r22170;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22171 = 1;
        double r22172 = 2;
        double r22173 = r22171 / r22172;
        double r22174 = l;
        double r22175 = r22172 * r22174;
        double r22176 = Om;
        double r22177 = r22175 / r22176;
        double r22178 = pow(r22177, r22172);
        double r22179 = kx;
        double r22180 = sin(r22179);
        double r22181 = pow(r22180, r22172);
        double r22182 = ky;
        double r22183 = sin(r22182);
        double r22184 = pow(r22183, r22172);
        double r22185 = r22181 + r22184;
        double r22186 = r22178 * r22185;
        double r22187 = r22171 + r22186;
        double r22188 = sqrt(r22187);
        double r22189 = r22171 / r22188;
        double r22190 = r22171 + r22189;
        double r22191 = r22173 * r22190;
        double r22192 = sqrt(r22191);
        return r22192;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22193 = 1;
        float r22194 = 2;
        float r22195 = r22193 / r22194;
        float r22196 = l;
        float r22197 = r22194 * r22196;
        float r22198 = Om;
        float r22199 = r22197 / r22198;
        float r22200 = kx;
        float r22201 = sin(r22200);
        float r22202 = pow(r22201, r22194);
        float r22203 = ky;
        float r22204 = sin(r22203);
        float r22205 = pow(r22204, r22194);
        float r22206 = r22202 + r22205;
        float r22207 = r22199 * r22206;
        float r22208 = r22199 * r22207;
        float r22209 = r22193 + r22208;
        float r22210 = sqrt(r22209);
        float r22211 = r22193 / r22210;
        float r22212 = r22193 + r22211;
        float r22213 = r22195 * r22212;
        float r22214 = sqrt(r22213);
        return r22214;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22215 = 1;
        double r22216 = 2;
        double r22217 = r22215 / r22216;
        double r22218 = l;
        double r22219 = r22216 * r22218;
        double r22220 = Om;
        double r22221 = r22219 / r22220;
        double r22222 = kx;
        double r22223 = sin(r22222);
        double r22224 = pow(r22223, r22216);
        double r22225 = ky;
        double r22226 = sin(r22225);
        double r22227 = pow(r22226, r22216);
        double r22228 = r22224 + r22227;
        double r22229 = r22221 * r22228;
        double r22230 = r22221 * r22229;
        double r22231 = r22215 + r22230;
        double r22232 = sqrt(r22231);
        double r22233 = r22215 / r22232;
        double r22234 = r22215 + r22233;
        double r22235 = r22217 * r22234;
        double r22236 = sqrt(r22235);
        return r22236;
}

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 r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22237, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22238, "2", 10, MPFR_RNDN);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init(r22245);
        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);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22239, r22237, r22238, MPFR_RNDN);
        mpfr_set_d(r22240, l, MPFR_RNDN);
        mpfr_mul(r22241, r22238, r22240, MPFR_RNDN);
        mpfr_set_d(r22242, Om, MPFR_RNDN);
        mpfr_div(r22243, r22241, r22242, MPFR_RNDN);
        mpfr_pow(r22244, r22243, r22238, MPFR_RNDN);
        mpfr_set_d(r22245, kx, MPFR_RNDN);
        mpfr_sin(r22246, r22245, MPFR_RNDN);
        mpfr_pow(r22247, r22246, r22238, MPFR_RNDN);
        mpfr_set_d(r22248, ky, MPFR_RNDN);
        mpfr_sin(r22249, r22248, MPFR_RNDN);
        mpfr_pow(r22250, r22249, r22238, MPFR_RNDN);
        mpfr_add(r22251, r22247, r22250, MPFR_RNDN);
        mpfr_mul(r22252, r22244, r22251, MPFR_RNDN);
        mpfr_add(r22253, r22237, r22252, MPFR_RNDN);
        mpfr_sqrt(r22254, r22253, MPFR_RNDN);
        mpfr_div(r22255, r22237, r22254, MPFR_RNDN);
        mpfr_add(r22256, r22237, r22255, MPFR_RNDN);
        mpfr_mul(r22257, r22239, r22256, MPFR_RNDN);
        mpfr_sqrt(r22258, r22257, MPFR_RNDN);
        return mpfr_get_d(r22258, MPFR_RNDN);
}

static mpfr_t r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22259, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22260, "2", 10, MPFR_RNDN);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        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);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22261, r22259, r22260, MPFR_RNDN);
        mpfr_set_d(r22262, l, MPFR_RNDN);
        mpfr_mul(r22263, r22260, r22262, MPFR_RNDN);
        mpfr_set_d(r22264, Om, MPFR_RNDN);
        mpfr_div(r22265, r22263, r22264, MPFR_RNDN);
        mpfr_set_d(r22266, kx, MPFR_RNDN);
        mpfr_sin(r22267, r22266, MPFR_RNDN);
        mpfr_pow(r22268, r22267, r22260, MPFR_RNDN);
        mpfr_set_d(r22269, ky, MPFR_RNDN);
        mpfr_sin(r22270, r22269, MPFR_RNDN);
        mpfr_pow(r22271, r22270, r22260, MPFR_RNDN);
        mpfr_add(r22272, r22268, r22271, MPFR_RNDN);
        mpfr_mul(r22273, r22265, r22272, MPFR_RNDN);
        mpfr_mul(r22274, r22265, r22273, MPFR_RNDN);
        mpfr_add(r22275, r22259, r22274, MPFR_RNDN);
        mpfr_sqrt(r22276, r22275, MPFR_RNDN);
        mpfr_div(r22277, r22259, r22276, MPFR_RNDN);
        mpfr_add(r22278, r22259, r22277, MPFR_RNDN);
        mpfr_mul(r22279, r22261, r22278, MPFR_RNDN);
        mpfr_sqrt(r22280, r22279, MPFR_RNDN);
        return mpfr_get_d(r22280, MPFR_RNDN);
}

static mpfr_t r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22281, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22282, "2", 10, MPFR_RNDN);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        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);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22283, r22281, r22282, MPFR_RNDN);
        mpfr_set_d(r22284, l, MPFR_RNDN);
        mpfr_mul(r22285, r22282, r22284, MPFR_RNDN);
        mpfr_set_d(r22286, Om, MPFR_RNDN);
        mpfr_div(r22287, r22285, r22286, MPFR_RNDN);
        mpfr_set_d(r22288, kx, MPFR_RNDN);
        mpfr_sin(r22289, r22288, MPFR_RNDN);
        mpfr_pow(r22290, r22289, r22282, MPFR_RNDN);
        mpfr_set_d(r22291, ky, MPFR_RNDN);
        mpfr_sin(r22292, r22291, MPFR_RNDN);
        mpfr_pow(r22293, r22292, r22282, MPFR_RNDN);
        mpfr_add(r22294, r22290, r22293, MPFR_RNDN);
        mpfr_mul(r22295, r22287, r22294, MPFR_RNDN);
        mpfr_mul(r22296, r22287, r22295, MPFR_RNDN);
        mpfr_add(r22297, r22281, r22296, MPFR_RNDN);
        mpfr_sqrt(r22298, r22297, MPFR_RNDN);
        mpfr_div(r22299, r22281, r22298, MPFR_RNDN);
        mpfr_add(r22300, r22281, r22299, MPFR_RNDN);
        mpfr_mul(r22301, r22283, r22300, MPFR_RNDN);
        mpfr_sqrt(r22302, r22301, MPFR_RNDN);
        return mpfr_get_d(r22302, MPFR_RNDN);
}

