#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Henrywood and Agarwal, Equation (9a)";

double f_if(float w0, float M, float D, float h, float l, float d) {
        float r23407 = w0;
        float r23408 = 1;
        float r23409 = M;
        float r23410 = D;
        float r23411 = r23409 * r23410;
        float r23412 = 2;
        float r23413 = d;
        float r23414 = r23412 * r23413;
        float r23415 = r23411 / r23414;
        float r23416 = pow(r23415, r23412);
        float r23417 = h;
        float r23418 = l;
        float r23419 = r23417 / r23418;
        float r23420 = r23416 * r23419;
        float r23421 = r23408 - r23420;
        float r23422 = sqrt(r23421);
        float r23423 = r23407 * r23422;
        return r23423;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r23424 = w0;
        double r23425 = 1;
        double r23426 = M;
        double r23427 = D;
        double r23428 = r23426 * r23427;
        double r23429 = 2;
        double r23430 = d;
        double r23431 = r23429 * r23430;
        double r23432 = r23428 / r23431;
        double r23433 = pow(r23432, r23429);
        double r23434 = h;
        double r23435 = l;
        double r23436 = r23434 / r23435;
        double r23437 = r23433 * r23436;
        double r23438 = r23425 - r23437;
        double r23439 = sqrt(r23438);
        double r23440 = r23424 * r23439;
        return r23440;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r23441 = w0;
        float r23442 = 1;
        float r23443 = M;
        float r23444 = D;
        float r23445 = r23443 * r23444;
        float r23446 = 2;
        float r23447 = d;
        float r23448 = r23446 * r23447;
        float r23449 = r23445 / r23448;
        float r23450 = h;
        float r23451 = r23445 * r23450;
        float r23452 = l;
        float r23453 = r23448 * r23452;
        float r23454 = r23451 / r23453;
        float r23455 = r23449 * r23454;
        float r23456 = r23442 - r23455;
        float r23457 = sqrt(r23456);
        float r23458 = r23441 * r23457;
        return r23458;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r23459 = w0;
        double r23460 = 1;
        double r23461 = M;
        double r23462 = D;
        double r23463 = r23461 * r23462;
        double r23464 = 2;
        double r23465 = d;
        double r23466 = r23464 * r23465;
        double r23467 = r23463 / r23466;
        double r23468 = h;
        double r23469 = r23463 * r23468;
        double r23470 = l;
        double r23471 = r23466 * r23470;
        double r23472 = r23469 / r23471;
        double r23473 = r23467 * r23472;
        double r23474 = r23460 - r23473;
        double r23475 = sqrt(r23474);
        double r23476 = r23459 * r23475;
        return r23476;
}

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 r23477, r23478, r23479, r23480, r23481, r23482, r23483, r23484, r23485, r23486, r23487, r23488, r23489, r23490, r23491, r23492, r23493;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23477);
        mpfr_init_set_str(r23478, "1", 10, MPFR_RNDN);
        mpfr_init(r23479);
        mpfr_init(r23480);
        mpfr_init(r23481);
        mpfr_init_set_str(r23482, "2", 10, MPFR_RNDN);
        mpfr_init(r23483);
        mpfr_init(r23484);
        mpfr_init(r23485);
        mpfr_init(r23486);
        mpfr_init(r23487);
        mpfr_init(r23488);
        mpfr_init(r23489);
        mpfr_init(r23490);
        mpfr_init(r23491);
        mpfr_init(r23492);
        mpfr_init(r23493);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23477, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23479, M, MPFR_RNDN);
        mpfr_set_d(r23480, D, MPFR_RNDN);
        mpfr_mul(r23481, r23479, r23480, MPFR_RNDN);
        ;
        mpfr_set_d(r23483, d, MPFR_RNDN);
        mpfr_mul(r23484, r23482, r23483, MPFR_RNDN);
        mpfr_div(r23485, r23481, r23484, MPFR_RNDN);
        mpfr_pow(r23486, r23485, r23482, MPFR_RNDN);
        mpfr_set_d(r23487, h, MPFR_RNDN);
        mpfr_set_d(r23488, l, MPFR_RNDN);
        mpfr_div(r23489, r23487, r23488, MPFR_RNDN);
        mpfr_mul(r23490, r23486, r23489, MPFR_RNDN);
        mpfr_sub(r23491, r23478, r23490, MPFR_RNDN);
        mpfr_sqrt(r23492, r23491, MPFR_RNDN);
        mpfr_mul(r23493, r23477, r23492, MPFR_RNDN);
        return mpfr_get_d(r23493, MPFR_RNDN);
}

static mpfr_t r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503, r23504, r23505, r23506, r23507, r23508, r23509, r23510, r23511;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23494);
        mpfr_init_set_str(r23495, "1", 10, MPFR_RNDN);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init_set_str(r23499, "2", 10, MPFR_RNDN);
        mpfr_init(r23500);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init(r23506);
        mpfr_init(r23507);
        mpfr_init(r23508);
        mpfr_init(r23509);
        mpfr_init(r23510);
        mpfr_init(r23511);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23494, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23496, M, MPFR_RNDN);
        mpfr_set_d(r23497, D, MPFR_RNDN);
        mpfr_mul(r23498, r23496, r23497, MPFR_RNDN);
        ;
        mpfr_set_d(r23500, d, MPFR_RNDN);
        mpfr_mul(r23501, r23499, r23500, MPFR_RNDN);
        mpfr_div(r23502, r23498, r23501, MPFR_RNDN);
        mpfr_set_d(r23503, h, MPFR_RNDN);
        mpfr_mul(r23504, r23498, r23503, MPFR_RNDN);
        mpfr_set_d(r23505, l, MPFR_RNDN);
        mpfr_mul(r23506, r23501, r23505, MPFR_RNDN);
        mpfr_div(r23507, r23504, r23506, MPFR_RNDN);
        mpfr_mul(r23508, r23502, r23507, MPFR_RNDN);
        mpfr_sub(r23509, r23495, r23508, MPFR_RNDN);
        mpfr_sqrt(r23510, r23509, MPFR_RNDN);
        mpfr_mul(r23511, r23494, r23510, MPFR_RNDN);
        return mpfr_get_d(r23511, MPFR_RNDN);
}

static mpfr_t r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520, r23521, r23522, r23523, r23524, r23525, r23526, r23527, r23528, r23529;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23512);
        mpfr_init_set_str(r23513, "1", 10, MPFR_RNDN);
        mpfr_init(r23514);
        mpfr_init(r23515);
        mpfr_init(r23516);
        mpfr_init_set_str(r23517, "2", 10, MPFR_RNDN);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init(r23520);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
        mpfr_init(r23526);
        mpfr_init(r23527);
        mpfr_init(r23528);
        mpfr_init(r23529);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23512, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23514, M, MPFR_RNDN);
        mpfr_set_d(r23515, D, MPFR_RNDN);
        mpfr_mul(r23516, r23514, r23515, MPFR_RNDN);
        ;
        mpfr_set_d(r23518, d, MPFR_RNDN);
        mpfr_mul(r23519, r23517, r23518, MPFR_RNDN);
        mpfr_div(r23520, r23516, r23519, MPFR_RNDN);
        mpfr_set_d(r23521, h, MPFR_RNDN);
        mpfr_mul(r23522, r23516, r23521, MPFR_RNDN);
        mpfr_set_d(r23523, l, MPFR_RNDN);
        mpfr_mul(r23524, r23519, r23523, MPFR_RNDN);
        mpfr_div(r23525, r23522, r23524, MPFR_RNDN);
        mpfr_mul(r23526, r23520, r23525, MPFR_RNDN);
        mpfr_sub(r23527, r23513, r23526, MPFR_RNDN);
        mpfr_sqrt(r23528, r23527, MPFR_RNDN);
        mpfr_mul(r23529, r23512, r23528, MPFR_RNDN);
        return mpfr_get_d(r23529, MPFR_RNDN);
}