#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 r22057 = 1;
        float r22058 = 2;
        float r22059 = r22057 / r22058;
        float r22060 = l;
        float r22061 = r22058 * r22060;
        float r22062 = Om;
        float r22063 = r22061 / r22062;
        float r22064 = pow(r22063, r22058);
        float r22065 = kx;
        float r22066 = sin(r22065);
        float r22067 = pow(r22066, r22058);
        float r22068 = ky;
        float r22069 = sin(r22068);
        float r22070 = pow(r22069, r22058);
        float r22071 = r22067 + r22070;
        float r22072 = r22064 * r22071;
        float r22073 = r22057 + r22072;
        float r22074 = sqrt(r22073);
        float r22075 = r22057 / r22074;
        float r22076 = r22057 + r22075;
        float r22077 = r22059 * r22076;
        float r22078 = sqrt(r22077);
        return r22078;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22079 = 1;
        double r22080 = 2;
        double r22081 = r22079 / r22080;
        double r22082 = l;
        double r22083 = r22080 * r22082;
        double r22084 = Om;
        double r22085 = r22083 / r22084;
        double r22086 = pow(r22085, r22080);
        double r22087 = kx;
        double r22088 = sin(r22087);
        double r22089 = pow(r22088, r22080);
        double r22090 = ky;
        double r22091 = sin(r22090);
        double r22092 = pow(r22091, r22080);
        double r22093 = r22089 + r22092;
        double r22094 = r22086 * r22093;
        double r22095 = r22079 + r22094;
        double r22096 = sqrt(r22095);
        double r22097 = r22079 / r22096;
        double r22098 = r22079 + r22097;
        double r22099 = r22081 * r22098;
        double r22100 = sqrt(r22099);
        return r22100;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22101 = 1;
        float r22102 = 2;
        float r22103 = r22101 / r22102;
        float r22104 = l;
        float r22105 = r22102 * r22104;
        float r22106 = Om;
        float r22107 = r22105 / r22106;
        float r22108 = kx;
        float r22109 = sin(r22108);
        float r22110 = pow(r22109, r22102);
        float r22111 = ky;
        float r22112 = sin(r22111);
        float r22113 = pow(r22112, r22102);
        float r22114 = r22110 + r22113;
        float r22115 = r22107 * r22114;
        float r22116 = r22107 * r22115;
        float r22117 = r22101 + r22116;
        float r22118 = sqrt(r22117);
        float r22119 = r22101 / r22118;
        float r22120 = r22101 + r22119;
        float r22121 = r22103 * r22120;
        float r22122 = sqrt(r22121);
        return r22122;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22123 = 1;
        double r22124 = 2;
        double r22125 = r22123 / r22124;
        double r22126 = l;
        double r22127 = r22124 * r22126;
        double r22128 = Om;
        double r22129 = r22127 / r22128;
        double r22130 = kx;
        double r22131 = sin(r22130);
        double r22132 = pow(r22131, r22124);
        double r22133 = ky;
        double r22134 = sin(r22133);
        double r22135 = pow(r22134, r22124);
        double r22136 = r22132 + r22135;
        double r22137 = r22129 * r22136;
        double r22138 = r22129 * r22137;
        double r22139 = r22123 + r22138;
        double r22140 = sqrt(r22139);
        double r22141 = r22123 / r22140;
        double r22142 = r22123 + r22141;
        double r22143 = r22125 * r22142;
        double r22144 = sqrt(r22143);
        return r22144;
}

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 r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22145, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22146, "2", 10, MPFR_RNDN);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22147, r22145, r22146, MPFR_RNDN);
        mpfr_set_d(r22148, l, MPFR_RNDN);
        mpfr_mul(r22149, r22146, r22148, MPFR_RNDN);
        mpfr_set_d(r22150, Om, MPFR_RNDN);
        mpfr_div(r22151, r22149, r22150, MPFR_RNDN);
        mpfr_pow(r22152, r22151, r22146, MPFR_RNDN);
        mpfr_set_d(r22153, kx, MPFR_RNDN);
        mpfr_sin(r22154, r22153, MPFR_RNDN);
        mpfr_pow(r22155, r22154, r22146, MPFR_RNDN);
        mpfr_set_d(r22156, ky, MPFR_RNDN);
        mpfr_sin(r22157, r22156, MPFR_RNDN);
        mpfr_pow(r22158, r22157, r22146, MPFR_RNDN);
        mpfr_add(r22159, r22155, r22158, MPFR_RNDN);
        mpfr_mul(r22160, r22152, r22159, MPFR_RNDN);
        mpfr_add(r22161, r22145, r22160, MPFR_RNDN);
        mpfr_sqrt(r22162, r22161, MPFR_RNDN);
        mpfr_div(r22163, r22145, r22162, MPFR_RNDN);
        mpfr_add(r22164, r22145, r22163, MPFR_RNDN);
        mpfr_mul(r22165, r22147, r22164, MPFR_RNDN);
        mpfr_sqrt(r22166, r22165, MPFR_RNDN);
        return mpfr_get_d(r22166, MPFR_RNDN);
}

static mpfr_t r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22167, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22168, "2", 10, MPFR_RNDN);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22169, r22167, r22168, MPFR_RNDN);
        mpfr_set_d(r22170, l, MPFR_RNDN);
        mpfr_mul(r22171, r22168, r22170, MPFR_RNDN);
        mpfr_set_d(r22172, Om, MPFR_RNDN);
        mpfr_div(r22173, r22171, r22172, MPFR_RNDN);
        mpfr_set_d(r22174, kx, MPFR_RNDN);
        mpfr_sin(r22175, r22174, MPFR_RNDN);
        mpfr_pow(r22176, r22175, r22168, MPFR_RNDN);
        mpfr_set_d(r22177, ky, MPFR_RNDN);
        mpfr_sin(r22178, r22177, MPFR_RNDN);
        mpfr_pow(r22179, r22178, r22168, MPFR_RNDN);
        mpfr_add(r22180, r22176, r22179, MPFR_RNDN);
        mpfr_mul(r22181, r22173, r22180, MPFR_RNDN);
        mpfr_mul(r22182, r22173, r22181, MPFR_RNDN);
        mpfr_add(r22183, r22167, r22182, MPFR_RNDN);
        mpfr_sqrt(r22184, r22183, MPFR_RNDN);
        mpfr_div(r22185, r22167, r22184, MPFR_RNDN);
        mpfr_add(r22186, r22167, r22185, MPFR_RNDN);
        mpfr_mul(r22187, r22169, r22186, MPFR_RNDN);
        mpfr_sqrt(r22188, r22187, MPFR_RNDN);
        return mpfr_get_d(r22188, MPFR_RNDN);
}

static mpfr_t r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22189, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22190, "2", 10, MPFR_RNDN);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22191, r22189, r22190, MPFR_RNDN);
        mpfr_set_d(r22192, l, MPFR_RNDN);
        mpfr_mul(r22193, r22190, r22192, MPFR_RNDN);
        mpfr_set_d(r22194, Om, MPFR_RNDN);
        mpfr_div(r22195, r22193, r22194, MPFR_RNDN);
        mpfr_set_d(r22196, kx, MPFR_RNDN);
        mpfr_sin(r22197, r22196, MPFR_RNDN);
        mpfr_pow(r22198, r22197, r22190, MPFR_RNDN);
        mpfr_set_d(r22199, ky, MPFR_RNDN);
        mpfr_sin(r22200, r22199, MPFR_RNDN);
        mpfr_pow(r22201, r22200, r22190, MPFR_RNDN);
        mpfr_add(r22202, r22198, r22201, MPFR_RNDN);
        mpfr_mul(r22203, r22195, r22202, MPFR_RNDN);
        mpfr_mul(r22204, r22195, r22203, MPFR_RNDN);
        mpfr_add(r22205, r22189, r22204, MPFR_RNDN);
        mpfr_sqrt(r22206, r22205, MPFR_RNDN);
        mpfr_div(r22207, r22189, r22206, MPFR_RNDN);
        mpfr_add(r22208, r22189, r22207, MPFR_RNDN);
        mpfr_mul(r22209, r22191, r22208, MPFR_RNDN);
        mpfr_sqrt(r22210, r22209, MPFR_RNDN);
        return mpfr_get_d(r22210, MPFR_RNDN);
}

