#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 r23399 = w0;
        float r23400 = 1;
        float r23401 = M;
        float r23402 = D;
        float r23403 = r23401 * r23402;
        float r23404 = 2;
        float r23405 = d;
        float r23406 = r23404 * r23405;
        float r23407 = r23403 / r23406;
        float r23408 = pow(r23407, r23404);
        float r23409 = h;
        float r23410 = l;
        float r23411 = r23409 / r23410;
        float r23412 = r23408 * r23411;
        float r23413 = r23400 - r23412;
        float r23414 = sqrt(r23413);
        float r23415 = r23399 * r23414;
        return r23415;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r23416 = w0;
        double r23417 = 1;
        double r23418 = M;
        double r23419 = D;
        double r23420 = r23418 * r23419;
        double r23421 = 2;
        double r23422 = d;
        double r23423 = r23421 * r23422;
        double r23424 = r23420 / r23423;
        double r23425 = pow(r23424, r23421);
        double r23426 = h;
        double r23427 = l;
        double r23428 = r23426 / r23427;
        double r23429 = r23425 * r23428;
        double r23430 = r23417 - r23429;
        double r23431 = sqrt(r23430);
        double r23432 = r23416 * r23431;
        return r23432;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r23433 = w0;
        float r23434 = 1;
        float r23435 = M;
        float r23436 = D;
        float r23437 = r23435 * r23436;
        float r23438 = 2;
        float r23439 = d;
        float r23440 = r23438 * r23439;
        float r23441 = r23437 / r23440;
        float r23442 = h;
        float r23443 = r23437 * r23442;
        float r23444 = l;
        float r23445 = r23440 * r23444;
        float r23446 = r23443 / r23445;
        float r23447 = r23441 * r23446;
        float r23448 = r23434 - r23447;
        float r23449 = sqrt(r23448);
        float r23450 = r23433 * r23449;
        return r23450;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r23451 = w0;
        double r23452 = 1;
        double r23453 = M;
        double r23454 = D;
        double r23455 = r23453 * r23454;
        double r23456 = 2;
        double r23457 = d;
        double r23458 = r23456 * r23457;
        double r23459 = r23455 / r23458;
        double r23460 = h;
        double r23461 = r23455 * r23460;
        double r23462 = l;
        double r23463 = r23458 * r23462;
        double r23464 = r23461 / r23463;
        double r23465 = r23459 * r23464;
        double r23466 = r23452 - r23465;
        double r23467 = sqrt(r23466);
        double r23468 = r23451 * r23467;
        return r23468;
}

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 r23469, r23470, r23471, r23472, r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480, r23481, r23482, r23483, r23484, r23485;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23469);
        mpfr_init_set_str(r23470, "1", 10, MPFR_RNDN);
        mpfr_init(r23471);
        mpfr_init(r23472);
        mpfr_init(r23473);
        mpfr_init_set_str(r23474, "2", 10, MPFR_RNDN);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
        mpfr_init(r23478);
        mpfr_init(r23479);
        mpfr_init(r23480);
        mpfr_init(r23481);
        mpfr_init(r23482);
        mpfr_init(r23483);
        mpfr_init(r23484);
        mpfr_init(r23485);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23469, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23471, M, MPFR_RNDN);
        mpfr_set_d(r23472, D, MPFR_RNDN);
        mpfr_mul(r23473, r23471, r23472, MPFR_RNDN);
        ;
        mpfr_set_d(r23475, d, MPFR_RNDN);
        mpfr_mul(r23476, r23474, r23475, MPFR_RNDN);
        mpfr_div(r23477, r23473, r23476, MPFR_RNDN);
        mpfr_pow(r23478, r23477, r23474, MPFR_RNDN);
        mpfr_set_d(r23479, h, MPFR_RNDN);
        mpfr_set_d(r23480, l, MPFR_RNDN);
        mpfr_div(r23481, r23479, r23480, MPFR_RNDN);
        mpfr_mul(r23482, r23478, r23481, MPFR_RNDN);
        mpfr_sub(r23483, r23470, r23482, MPFR_RNDN);
        mpfr_sqrt(r23484, r23483, MPFR_RNDN);
        mpfr_mul(r23485, r23469, r23484, MPFR_RNDN);
        return mpfr_get_d(r23485, MPFR_RNDN);
}

static mpfr_t r23486, r23487, r23488, r23489, r23490, r23491, r23492, r23493, r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23486);
        mpfr_init_set_str(r23487, "1", 10, MPFR_RNDN);
        mpfr_init(r23488);
        mpfr_init(r23489);
        mpfr_init(r23490);
        mpfr_init_set_str(r23491, "2", 10, MPFR_RNDN);
        mpfr_init(r23492);
        mpfr_init(r23493);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init(r23499);
        mpfr_init(r23500);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23486, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23488, M, MPFR_RNDN);
        mpfr_set_d(r23489, D, MPFR_RNDN);
        mpfr_mul(r23490, r23488, r23489, MPFR_RNDN);
        ;
        mpfr_set_d(r23492, d, MPFR_RNDN);
        mpfr_mul(r23493, r23491, r23492, MPFR_RNDN);
        mpfr_div(r23494, r23490, r23493, MPFR_RNDN);
        mpfr_set_d(r23495, h, MPFR_RNDN);
        mpfr_mul(r23496, r23490, r23495, MPFR_RNDN);
        mpfr_set_d(r23497, l, MPFR_RNDN);
        mpfr_mul(r23498, r23493, r23497, MPFR_RNDN);
        mpfr_div(r23499, r23496, r23498, MPFR_RNDN);
        mpfr_mul(r23500, r23494, r23499, MPFR_RNDN);
        mpfr_sub(r23501, r23487, r23500, MPFR_RNDN);
        mpfr_sqrt(r23502, r23501, MPFR_RNDN);
        mpfr_mul(r23503, r23486, r23502, MPFR_RNDN);
        return mpfr_get_d(r23503, MPFR_RNDN);
}

static mpfr_t r23504, r23505, r23506, r23507, r23508, r23509, r23510, r23511, r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520, r23521;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23504);
        mpfr_init_set_str(r23505, "1", 10, MPFR_RNDN);
        mpfr_init(r23506);
        mpfr_init(r23507);
        mpfr_init(r23508);
        mpfr_init_set_str(r23509, "2", 10, MPFR_RNDN);
        mpfr_init(r23510);
        mpfr_init(r23511);
        mpfr_init(r23512);
        mpfr_init(r23513);
        mpfr_init(r23514);
        mpfr_init(r23515);
        mpfr_init(r23516);
        mpfr_init(r23517);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init(r23520);
        mpfr_init(r23521);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23504, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23506, M, MPFR_RNDN);
        mpfr_set_d(r23507, D, MPFR_RNDN);
        mpfr_mul(r23508, r23506, r23507, MPFR_RNDN);
        ;
        mpfr_set_d(r23510, d, MPFR_RNDN);
        mpfr_mul(r23511, r23509, r23510, MPFR_RNDN);
        mpfr_div(r23512, r23508, r23511, MPFR_RNDN);
        mpfr_set_d(r23513, h, MPFR_RNDN);
        mpfr_mul(r23514, r23508, r23513, MPFR_RNDN);
        mpfr_set_d(r23515, l, MPFR_RNDN);
        mpfr_mul(r23516, r23511, r23515, MPFR_RNDN);
        mpfr_div(r23517, r23514, r23516, MPFR_RNDN);
        mpfr_mul(r23518, r23512, r23517, MPFR_RNDN);
        mpfr_sub(r23519, r23505, r23518, MPFR_RNDN);
        mpfr_sqrt(r23520, r23519, MPFR_RNDN);
        mpfr_mul(r23521, r23504, r23520, MPFR_RNDN);
        return mpfr_get_d(r23521, MPFR_RNDN);
}