#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 r22150 = 1;
        float r22151 = 2;
        float r22152 = r22150 / r22151;
        float r22153 = l;
        float r22154 = r22151 * r22153;
        float r22155 = Om;
        float r22156 = r22154 / r22155;
        float r22157 = pow(r22156, r22151);
        float r22158 = kx;
        float r22159 = sin(r22158);
        float r22160 = pow(r22159, r22151);
        float r22161 = ky;
        float r22162 = sin(r22161);
        float r22163 = pow(r22162, r22151);
        float r22164 = r22160 + r22163;
        float r22165 = r22157 * r22164;
        float r22166 = r22150 + r22165;
        float r22167 = sqrt(r22166);
        float r22168 = r22150 / r22167;
        float r22169 = r22150 + r22168;
        float r22170 = r22152 * r22169;
        float r22171 = sqrt(r22170);
        return r22171;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22172 = 1;
        double r22173 = 2;
        double r22174 = r22172 / r22173;
        double r22175 = l;
        double r22176 = r22173 * r22175;
        double r22177 = Om;
        double r22178 = r22176 / r22177;
        double r22179 = pow(r22178, r22173);
        double r22180 = kx;
        double r22181 = sin(r22180);
        double r22182 = pow(r22181, r22173);
        double r22183 = ky;
        double r22184 = sin(r22183);
        double r22185 = pow(r22184, r22173);
        double r22186 = r22182 + r22185;
        double r22187 = r22179 * r22186;
        double r22188 = r22172 + r22187;
        double r22189 = sqrt(r22188);
        double r22190 = r22172 / r22189;
        double r22191 = r22172 + r22190;
        double r22192 = r22174 * r22191;
        double r22193 = sqrt(r22192);
        return r22193;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22194 = 1;
        float r22195 = 2;
        float r22196 = r22194 / r22195;
        float r22197 = l;
        float r22198 = r22195 * r22197;
        float r22199 = Om;
        float r22200 = r22198 / r22199;
        float r22201 = kx;
        float r22202 = sin(r22201);
        float r22203 = pow(r22202, r22195);
        float r22204 = ky;
        float r22205 = sin(r22204);
        float r22206 = pow(r22205, r22195);
        float r22207 = r22203 + r22206;
        float r22208 = r22200 * r22207;
        float r22209 = r22200 * r22208;
        float r22210 = r22194 + r22209;
        float r22211 = sqrt(r22210);
        float r22212 = r22194 / r22211;
        float r22213 = r22194 + r22212;
        float r22214 = r22196 * r22213;
        float r22215 = sqrt(r22214);
        return r22215;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22216 = 1;
        double r22217 = 2;
        double r22218 = r22216 / r22217;
        double r22219 = l;
        double r22220 = r22217 * r22219;
        double r22221 = Om;
        double r22222 = r22220 / r22221;
        double r22223 = kx;
        double r22224 = sin(r22223);
        double r22225 = pow(r22224, r22217);
        double r22226 = ky;
        double r22227 = sin(r22226);
        double r22228 = pow(r22227, r22217);
        double r22229 = r22225 + r22228;
        double r22230 = r22222 * r22229;
        double r22231 = r22222 * r22230;
        double r22232 = r22216 + r22231;
        double r22233 = sqrt(r22232);
        double r22234 = r22216 / r22233;
        double r22235 = r22216 + r22234;
        double r22236 = r22218 * r22235;
        double r22237 = sqrt(r22236);
        return r22237;
}

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 r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22238, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22239, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22259);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22240, r22238, r22239, MPFR_RNDN);
        mpfr_set_d(r22241, l, MPFR_RNDN);
        mpfr_mul(r22242, r22239, r22241, MPFR_RNDN);
        mpfr_set_d(r22243, Om, MPFR_RNDN);
        mpfr_div(r22244, r22242, r22243, MPFR_RNDN);
        mpfr_pow(r22245, r22244, r22239, MPFR_RNDN);
        mpfr_set_d(r22246, kx, MPFR_RNDN);
        mpfr_sin(r22247, r22246, MPFR_RNDN);
        mpfr_pow(r22248, r22247, r22239, MPFR_RNDN);
        mpfr_set_d(r22249, ky, MPFR_RNDN);
        mpfr_sin(r22250, r22249, MPFR_RNDN);
        mpfr_pow(r22251, r22250, r22239, MPFR_RNDN);
        mpfr_add(r22252, r22248, r22251, MPFR_RNDN);
        mpfr_mul(r22253, r22245, r22252, MPFR_RNDN);
        mpfr_add(r22254, r22238, r22253, MPFR_RNDN);
        mpfr_sqrt(r22255, r22254, MPFR_RNDN);
        mpfr_div(r22256, r22238, r22255, MPFR_RNDN);
        mpfr_add(r22257, r22238, r22256, MPFR_RNDN);
        mpfr_mul(r22258, r22240, r22257, MPFR_RNDN);
        mpfr_sqrt(r22259, r22258, MPFR_RNDN);
        return mpfr_get_d(r22259, MPFR_RNDN);
}

static mpfr_t r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22260, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22261, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22281);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22262, r22260, r22261, MPFR_RNDN);
        mpfr_set_d(r22263, l, MPFR_RNDN);
        mpfr_mul(r22264, r22261, r22263, MPFR_RNDN);
        mpfr_set_d(r22265, Om, MPFR_RNDN);
        mpfr_div(r22266, r22264, r22265, MPFR_RNDN);
        mpfr_set_d(r22267, kx, MPFR_RNDN);
        mpfr_sin(r22268, r22267, MPFR_RNDN);
        mpfr_pow(r22269, r22268, r22261, MPFR_RNDN);
        mpfr_set_d(r22270, ky, MPFR_RNDN);
        mpfr_sin(r22271, r22270, MPFR_RNDN);
        mpfr_pow(r22272, r22271, r22261, MPFR_RNDN);
        mpfr_add(r22273, r22269, r22272, MPFR_RNDN);
        mpfr_mul(r22274, r22266, r22273, MPFR_RNDN);
        mpfr_mul(r22275, r22266, r22274, MPFR_RNDN);
        mpfr_add(r22276, r22260, r22275, MPFR_RNDN);
        mpfr_sqrt(r22277, r22276, MPFR_RNDN);
        mpfr_div(r22278, r22260, r22277, MPFR_RNDN);
        mpfr_add(r22279, r22260, r22278, MPFR_RNDN);
        mpfr_mul(r22280, r22262, r22279, MPFR_RNDN);
        mpfr_sqrt(r22281, r22280, MPFR_RNDN);
        return mpfr_get_d(r22281, MPFR_RNDN);
}

static mpfr_t r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22282, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22283, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22303);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22284, r22282, r22283, MPFR_RNDN);
        mpfr_set_d(r22285, l, MPFR_RNDN);
        mpfr_mul(r22286, r22283, r22285, MPFR_RNDN);
        mpfr_set_d(r22287, Om, MPFR_RNDN);
        mpfr_div(r22288, r22286, r22287, MPFR_RNDN);
        mpfr_set_d(r22289, kx, MPFR_RNDN);
        mpfr_sin(r22290, r22289, MPFR_RNDN);
        mpfr_pow(r22291, r22290, r22283, MPFR_RNDN);
        mpfr_set_d(r22292, ky, MPFR_RNDN);
        mpfr_sin(r22293, r22292, MPFR_RNDN);
        mpfr_pow(r22294, r22293, r22283, MPFR_RNDN);
        mpfr_add(r22295, r22291, r22294, MPFR_RNDN);
        mpfr_mul(r22296, r22288, r22295, MPFR_RNDN);
        mpfr_mul(r22297, r22288, r22296, MPFR_RNDN);
        mpfr_add(r22298, r22282, r22297, MPFR_RNDN);
        mpfr_sqrt(r22299, r22298, MPFR_RNDN);
        mpfr_div(r22300, r22282, r22299, MPFR_RNDN);
        mpfr_add(r22301, r22282, r22300, MPFR_RNDN);
        mpfr_mul(r22302, r22284, r22301, MPFR_RNDN);
        mpfr_sqrt(r22303, r22302, MPFR_RNDN);
        return mpfr_get_d(r22303, MPFR_RNDN);
}

