#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 r22282 = w0;
        float r22283 = 1;
        float r22284 = M;
        float r22285 = D;
        float r22286 = r22284 * r22285;
        float r22287 = 2;
        float r22288 = d;
        float r22289 = r22287 * r22288;
        float r22290 = r22286 / r22289;
        float r22291 = pow(r22290, r22287);
        float r22292 = h;
        float r22293 = l;
        float r22294 = r22292 / r22293;
        float r22295 = r22291 * r22294;
        float r22296 = r22283 - r22295;
        float r22297 = sqrt(r22296);
        float r22298 = r22282 * r22297;
        return r22298;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r22299 = w0;
        double r22300 = 1;
        double r22301 = M;
        double r22302 = D;
        double r22303 = r22301 * r22302;
        double r22304 = 2;
        double r22305 = d;
        double r22306 = r22304 * r22305;
        double r22307 = r22303 / r22306;
        double r22308 = pow(r22307, r22304);
        double r22309 = h;
        double r22310 = l;
        double r22311 = r22309 / r22310;
        double r22312 = r22308 * r22311;
        double r22313 = r22300 - r22312;
        double r22314 = sqrt(r22313);
        double r22315 = r22299 * r22314;
        return r22315;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r22316 = w0;
        float r22317 = 1;
        float r22318 = M;
        float r22319 = D;
        float r22320 = r22318 * r22319;
        float r22321 = 2;
        float r22322 = d;
        float r22323 = r22321 * r22322;
        float r22324 = r22320 / r22323;
        float r22325 = cbrt(r22324);
        float r22326 = r22325 * r22325;
        float r22327 = h;
        float r22328 = r22325 * r22327;
        float r22329 = r22326 * r22328;
        float r22330 = r22324 * r22329;
        float r22331 = l;
        float r22332 = r22317 / r22331;
        float r22333 = r22330 * r22332;
        float r22334 = r22317 - r22333;
        float r22335 = sqrt(r22334);
        float r22336 = r22316 * r22335;
        return r22336;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r22337 = w0;
        double r22338 = 1;
        double r22339 = M;
        double r22340 = D;
        double r22341 = r22339 * r22340;
        double r22342 = 2;
        double r22343 = d;
        double r22344 = r22342 * r22343;
        double r22345 = r22341 / r22344;
        double r22346 = cbrt(r22345);
        double r22347 = r22346 * r22346;
        double r22348 = h;
        double r22349 = r22346 * r22348;
        double r22350 = r22347 * r22349;
        double r22351 = r22345 * r22350;
        double r22352 = l;
        double r22353 = r22338 / r22352;
        double r22354 = r22351 * r22353;
        double r22355 = r22338 - r22354;
        double r22356 = sqrt(r22355);
        double r22357 = r22337 * r22356;
        return r22357;
}

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 r22358, r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22358);
        mpfr_init_set_str(r22359, "1", 10, MPFR_RNDN);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init_set_str(r22363, "2", 10, MPFR_RNDN);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22358, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22360, M, MPFR_RNDN);
        mpfr_set_d(r22361, D, MPFR_RNDN);
        mpfr_mul(r22362, r22360, r22361, MPFR_RNDN);
        ;
        mpfr_set_d(r22364, d, MPFR_RNDN);
        mpfr_mul(r22365, r22363, r22364, MPFR_RNDN);
        mpfr_div(r22366, r22362, r22365, MPFR_RNDN);
        mpfr_pow(r22367, r22366, r22363, MPFR_RNDN);
        mpfr_set_d(r22368, h, MPFR_RNDN);
        mpfr_set_d(r22369, l, MPFR_RNDN);
        mpfr_div(r22370, r22368, r22369, MPFR_RNDN);
        mpfr_mul(r22371, r22367, r22370, MPFR_RNDN);
        mpfr_sub(r22372, r22359, r22371, MPFR_RNDN);
        mpfr_sqrt(r22373, r22372, MPFR_RNDN);
        mpfr_mul(r22374, r22358, r22373, MPFR_RNDN);
        return mpfr_get_d(r22374, MPFR_RNDN);
}

static mpfr_t r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22375);
        mpfr_init_set_str(r22376, "1", 10, MPFR_RNDN);
        mpfr_init(r22377);
        mpfr_init(r22378);
        mpfr_init(r22379);
        mpfr_init_set_str(r22380, "2", 10, MPFR_RNDN);
        mpfr_init(r22381);
        mpfr_init(r22382);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22375, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22377, M, MPFR_RNDN);
        mpfr_set_d(r22378, D, MPFR_RNDN);
        mpfr_mul(r22379, r22377, r22378, MPFR_RNDN);
        ;
        mpfr_set_d(r22381, d, MPFR_RNDN);
        mpfr_mul(r22382, r22380, r22381, MPFR_RNDN);
        mpfr_div(r22383, r22379, r22382, MPFR_RNDN);
        mpfr_cbrt(r22384, r22383, MPFR_RNDN);
        mpfr_mul(r22385, r22384, r22384, MPFR_RNDN);
        mpfr_set_d(r22386, h, MPFR_RNDN);
        mpfr_mul(r22387, r22384, r22386, MPFR_RNDN);
        mpfr_mul(r22388, r22385, r22387, MPFR_RNDN);
        mpfr_mul(r22389, r22383, r22388, MPFR_RNDN);
        mpfr_set_d(r22390, l, MPFR_RNDN);
        mpfr_div(r22391, r22376, r22390, MPFR_RNDN);
        mpfr_mul(r22392, r22389, r22391, MPFR_RNDN);
        mpfr_sub(r22393, r22376, r22392, MPFR_RNDN);
        mpfr_sqrt(r22394, r22393, MPFR_RNDN);
        mpfr_mul(r22395, r22375, r22394, MPFR_RNDN);
        return mpfr_get_d(r22395, MPFR_RNDN);
}

static mpfr_t r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22396);
        mpfr_init_set_str(r22397, "1", 10, MPFR_RNDN);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init_set_str(r22401, "2", 10, MPFR_RNDN);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22396, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22398, M, MPFR_RNDN);
        mpfr_set_d(r22399, D, MPFR_RNDN);
        mpfr_mul(r22400, r22398, r22399, MPFR_RNDN);
        ;
        mpfr_set_d(r22402, d, MPFR_RNDN);
        mpfr_mul(r22403, r22401, r22402, MPFR_RNDN);
        mpfr_div(r22404, r22400, r22403, MPFR_RNDN);
        mpfr_cbrt(r22405, r22404, MPFR_RNDN);
        mpfr_mul(r22406, r22405, r22405, MPFR_RNDN);
        mpfr_set_d(r22407, h, MPFR_RNDN);
        mpfr_mul(r22408, r22405, r22407, MPFR_RNDN);
        mpfr_mul(r22409, r22406, r22408, MPFR_RNDN);
        mpfr_mul(r22410, r22404, r22409, MPFR_RNDN);
        mpfr_set_d(r22411, l, MPFR_RNDN);
        mpfr_div(r22412, r22397, r22411, MPFR_RNDN);
        mpfr_mul(r22413, r22410, r22412, MPFR_RNDN);
        mpfr_sub(r22414, r22397, r22413, MPFR_RNDN);
        mpfr_sqrt(r22415, r22414, MPFR_RNDN);
        mpfr_mul(r22416, r22396, r22415, MPFR_RNDN);
        return mpfr_get_d(r22416, MPFR_RNDN);
}

