#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 r22185 = 1;
        float r22186 = 2;
        float r22187 = r22185 / r22186;
        float r22188 = l;
        float r22189 = r22186 * r22188;
        float r22190 = Om;
        float r22191 = r22189 / r22190;
        float r22192 = pow(r22191, r22186);
        float r22193 = kx;
        float r22194 = sin(r22193);
        float r22195 = pow(r22194, r22186);
        float r22196 = ky;
        float r22197 = sin(r22196);
        float r22198 = pow(r22197, r22186);
        float r22199 = r22195 + r22198;
        float r22200 = r22192 * r22199;
        float r22201 = r22185 + r22200;
        float r22202 = sqrt(r22201);
        float r22203 = r22185 / r22202;
        float r22204 = r22185 + r22203;
        float r22205 = r22187 * r22204;
        float r22206 = sqrt(r22205);
        return r22206;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22207 = 1;
        double r22208 = 2;
        double r22209 = r22207 / r22208;
        double r22210 = l;
        double r22211 = r22208 * r22210;
        double r22212 = Om;
        double r22213 = r22211 / r22212;
        double r22214 = pow(r22213, r22208);
        double r22215 = kx;
        double r22216 = sin(r22215);
        double r22217 = pow(r22216, r22208);
        double r22218 = ky;
        double r22219 = sin(r22218);
        double r22220 = pow(r22219, r22208);
        double r22221 = r22217 + r22220;
        double r22222 = r22214 * r22221;
        double r22223 = r22207 + r22222;
        double r22224 = sqrt(r22223);
        double r22225 = r22207 / r22224;
        double r22226 = r22207 + r22225;
        double r22227 = r22209 * r22226;
        double r22228 = sqrt(r22227);
        return r22228;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22229 = 1;
        float r22230 = 2;
        float r22231 = r22229 / r22230;
        float r22232 = l;
        float r22233 = Om;
        float r22234 = r22233 / r22230;
        float r22235 = r22232 / r22234;
        float r22236 = kx;
        float r22237 = sin(r22236);
        float r22238 = ky;
        float r22239 = sin(r22238);
        float r22240 = hypot(r22237, r22239);
        float r22241 = r22235 * r22240;
        float r22242 = hypot(r22229, r22241);
        float r22243 = expm1(r22242);
        float r22244 = log1p(r22243);
        float r22245 = r22229 / r22244;
        float r22246 = r22229 + r22245;
        float r22247 = r22231 * r22246;
        float r22248 = sqrt(r22247);
        return r22248;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22249 = 1;
        double r22250 = 2;
        double r22251 = r22249 / r22250;
        double r22252 = l;
        double r22253 = Om;
        double r22254 = r22253 / r22250;
        double r22255 = r22252 / r22254;
        double r22256 = kx;
        double r22257 = sin(r22256);
        double r22258 = ky;
        double r22259 = sin(r22258);
        double r22260 = hypot(r22257, r22259);
        double r22261 = r22255 * r22260;
        double r22262 = hypot(r22249, r22261);
        double r22263 = expm1(r22262);
        double r22264 = log1p(r22263);
        double r22265 = r22249 / r22264;
        double r22266 = r22249 + r22265;
        double r22267 = r22251 * r22266;
        double r22268 = sqrt(r22267);
        return r22268;
}

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 r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22269, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22270, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22271, r22269, r22270, MPFR_RNDN);
        mpfr_set_d(r22272, l, MPFR_RNDN);
        mpfr_mul(r22273, r22270, r22272, MPFR_RNDN);
        mpfr_set_d(r22274, Om, MPFR_RNDN);
        mpfr_div(r22275, r22273, r22274, MPFR_RNDN);
        mpfr_pow(r22276, r22275, r22270, MPFR_RNDN);
        mpfr_set_d(r22277, kx, MPFR_RNDN);
        mpfr_sin(r22278, r22277, MPFR_RNDN);
        mpfr_pow(r22279, r22278, r22270, MPFR_RNDN);
        mpfr_set_d(r22280, ky, MPFR_RNDN);
        mpfr_sin(r22281, r22280, MPFR_RNDN);
        mpfr_pow(r22282, r22281, r22270, MPFR_RNDN);
        mpfr_add(r22283, r22279, r22282, MPFR_RNDN);
        mpfr_mul(r22284, r22276, r22283, MPFR_RNDN);
        mpfr_add(r22285, r22269, r22284, MPFR_RNDN);
        mpfr_sqrt(r22286, r22285, MPFR_RNDN);
        mpfr_div(r22287, r22269, r22286, MPFR_RNDN);
        mpfr_add(r22288, r22269, r22287, MPFR_RNDN);
        mpfr_mul(r22289, r22271, r22288, MPFR_RNDN);
        mpfr_sqrt(r22290, r22289, MPFR_RNDN);
        return mpfr_get_d(r22290, MPFR_RNDN);
}

static mpfr_t r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22291, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22292, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22310);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22293, r22291, r22292, MPFR_RNDN);
        mpfr_set_d(r22294, l, MPFR_RNDN);
        mpfr_set_d(r22295, Om, MPFR_RNDN);
        mpfr_div(r22296, r22295, r22292, MPFR_RNDN);
        mpfr_div(r22297, r22294, r22296, MPFR_RNDN);
        mpfr_set_d(r22298, kx, MPFR_RNDN);
        mpfr_sin(r22299, r22298, MPFR_RNDN);
        mpfr_set_d(r22300, ky, MPFR_RNDN);
        mpfr_sin(r22301, r22300, MPFR_RNDN);
        mpfr_hypot(r22302, r22299, r22301, MPFR_RNDN);
        mpfr_mul(r22303, r22297, r22302, MPFR_RNDN);
        mpfr_hypot(r22304, r22291, r22303, MPFR_RNDN);
        mpfr_expm1(r22305, r22304, MPFR_RNDN);
        mpfr_log1p(r22306, r22305, MPFR_RNDN);
        mpfr_div(r22307, r22291, r22306, MPFR_RNDN);
        mpfr_add(r22308, r22291, r22307, MPFR_RNDN);
        mpfr_mul(r22309, r22293, r22308, MPFR_RNDN);
        mpfr_sqrt(r22310, r22309, MPFR_RNDN);
        return mpfr_get_d(r22310, MPFR_RNDN);
}

static mpfr_t r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22311, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22312, "2", 10, MPFR_RNDN);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22313, r22311, r22312, MPFR_RNDN);
        mpfr_set_d(r22314, l, MPFR_RNDN);
        mpfr_set_d(r22315, Om, MPFR_RNDN);
        mpfr_div(r22316, r22315, r22312, MPFR_RNDN);
        mpfr_div(r22317, r22314, r22316, MPFR_RNDN);
        mpfr_set_d(r22318, kx, MPFR_RNDN);
        mpfr_sin(r22319, r22318, MPFR_RNDN);
        mpfr_set_d(r22320, ky, MPFR_RNDN);
        mpfr_sin(r22321, r22320, MPFR_RNDN);
        mpfr_hypot(r22322, r22319, r22321, MPFR_RNDN);
        mpfr_mul(r22323, r22317, r22322, MPFR_RNDN);
        mpfr_hypot(r22324, r22311, r22323, MPFR_RNDN);
        mpfr_expm1(r22325, r22324, MPFR_RNDN);
        mpfr_log1p(r22326, r22325, MPFR_RNDN);
        mpfr_div(r22327, r22311, r22326, MPFR_RNDN);
        mpfr_add(r22328, r22311, r22327, MPFR_RNDN);
        mpfr_mul(r22329, r22313, r22328, MPFR_RNDN);
        mpfr_sqrt(r22330, r22329, MPFR_RNDN);
        return mpfr_get_d(r22330, MPFR_RNDN);
}

