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

char *name = "Octave 3.8, jcobi/4";

double f_if(float alpha, float beta, float i) {
        float r16381 = i;
        float r16382 = alpha;
        float r16383 = beta;
        float r16384 = r16382 + r16383;
        float r16385 = r16384 + r16381;
        float r16386 = r16381 * r16385;
        float r16387 = r16383 * r16382;
        float r16388 = r16387 + r16386;
        float r16389 = r16386 * r16388;
        float r16390 = 2.0f;
        float r16391 = r16390 * r16381;
        float r16392 = r16384 + r16391;
        float r16393 = r16392 * r16392;
        float r16394 = r16389 / r16393;
        float r16395 = 1.0f;
        float r16396 = r16393 - r16395;
        float r16397 = r16394 / r16396;
        return r16397;
}

double f_id(double alpha, double beta, double i) {
        double r16398 = i;
        double r16399 = alpha;
        double r16400 = beta;
        double r16401 = r16399 + r16400;
        double r16402 = r16401 + r16398;
        double r16403 = r16398 * r16402;
        double r16404 = r16400 * r16399;
        double r16405 = r16404 + r16403;
        double r16406 = r16403 * r16405;
        double r16407 = 2.0;
        double r16408 = r16407 * r16398;
        double r16409 = r16401 + r16408;
        double r16410 = r16409 * r16409;
        double r16411 = r16406 / r16410;
        double r16412 = 1.0;
        double r16413 = r16410 - r16412;
        double r16414 = r16411 / r16413;
        return r16414;
}


double f_of(float alpha, float beta, float i) {
        float r16415 = beta;
        float r16416 = alpha;
        float r16417 = r16415 + r16416;
        float r16418 = i;
        float r16419 = r16417 + r16418;
        float r16420 = 2.0f;
        float r16421 = fma(r16418, r16420, r16416);
        float r16422 = r16415 + r16421;
        float r16423 = r16419 / r16422;
        float r16424 = r16416 * r16415;
        float r16425 = fma(r16418, r16419, r16424);
        float r16426 = r16423 * r16425;
        float r16427 = r16418 / r16422;
        float r16428 = r16426 * r16427;
        float r16429 = sqrt(r16428);
        float r16430 = r16429 * r16429;
        float r16431 = r16422 * r16422;
        float r16432 = 1.0f;
        float r16433 = r16431 - r16432;
        float r16434 = r16430 / r16433;
        return r16434;
}

double f_od(double alpha, double beta, double i) {
        double r16435 = beta;
        double r16436 = alpha;
        double r16437 = r16435 + r16436;
        double r16438 = i;
        double r16439 = r16437 + r16438;
        double r16440 = 2.0;
        double r16441 = fma(r16438, r16440, r16436);
        double r16442 = r16435 + r16441;
        double r16443 = r16439 / r16442;
        double r16444 = r16436 * r16435;
        double r16445 = fma(r16438, r16439, r16444);
        double r16446 = r16443 * r16445;
        double r16447 = r16438 / r16442;
        double r16448 = r16446 * r16447;
        double r16449 = sqrt(r16448);
        double r16450 = r16449 * r16449;
        double r16451 = r16442 * r16442;
        double r16452 = 1.0;
        double r16453 = r16451 - r16452;
        double r16454 = r16450 / r16453;
        return r16454;
}

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 r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462, r16463, r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init(r16457);
        mpfr_init(r16458);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init(r16463);
        mpfr_init_set_str(r16464, "2", 10, MPFR_RNDN);
        mpfr_init(r16465);
        mpfr_init(r16466);
        mpfr_init(r16467);
        mpfr_init(r16468);
        mpfr_init_set_str(r16469, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16470);
        mpfr_init(r16471);
}

double f_im(double alpha, double beta, double i) {
        mpfr_set_d(r16455, i, MPFR_RNDN);
        mpfr_set_d(r16456, alpha, MPFR_RNDN);
        mpfr_set_d(r16457, beta, MPFR_RNDN);
        mpfr_add(r16458, r16456, r16457, MPFR_RNDN);
        mpfr_add(r16459, r16458, r16455, MPFR_RNDN);
        mpfr_mul(r16460, r16455, r16459, MPFR_RNDN);
        mpfr_mul(r16461, r16457, r16456, MPFR_RNDN);
        mpfr_add(r16462, r16461, r16460, MPFR_RNDN);
        mpfr_mul(r16463, r16460, r16462, MPFR_RNDN);
        ;
        mpfr_mul(r16465, r16464, r16455, MPFR_RNDN);
        mpfr_add(r16466, r16458, r16465, MPFR_RNDN);
        mpfr_mul(r16467, r16466, r16466, MPFR_RNDN);
        mpfr_div(r16468, r16463, r16467, MPFR_RNDN);
        ;
        mpfr_sub(r16470, r16467, r16469, MPFR_RNDN);
        mpfr_div(r16471, r16468, r16470, MPFR_RNDN);
        return mpfr_get_d(r16471, MPFR_RNDN);
}

static mpfr_t r16472, r16473, r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485, r16486, r16487, r16488, r16489, r16490, r16491;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16472);
        mpfr_init(r16473);
        mpfr_init(r16474);
        mpfr_init(r16475);
        mpfr_init(r16476);
        mpfr_init_set_str(r16477, "2", 10, MPFR_RNDN);
        mpfr_init(r16478);
        mpfr_init(r16479);
        mpfr_init(r16480);
        mpfr_init(r16481);
        mpfr_init(r16482);
        mpfr_init(r16483);
        mpfr_init(r16484);
        mpfr_init(r16485);
        mpfr_init(r16486);
        mpfr_init(r16487);
        mpfr_init(r16488);
        mpfr_init_set_str(r16489, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16490);
        mpfr_init(r16491);
}

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r16472, beta, MPFR_RNDN);
        mpfr_set_d(r16473, alpha, MPFR_RNDN);
        mpfr_add(r16474, r16472, r16473, MPFR_RNDN);
        mpfr_set_d(r16475, i, MPFR_RNDN);
        mpfr_add(r16476, r16474, r16475, MPFR_RNDN);
        ;
        mpfr_fma(r16478, r16475, r16477, r16473, MPFR_RNDN);
        mpfr_add(r16479, r16472, r16478, MPFR_RNDN);
        mpfr_div(r16480, r16476, r16479, MPFR_RNDN);
        mpfr_mul(r16481, r16473, r16472, MPFR_RNDN);
        mpfr_fma(r16482, r16475, r16476, r16481, MPFR_RNDN);
        mpfr_mul(r16483, r16480, r16482, MPFR_RNDN);
        mpfr_div(r16484, r16475, r16479, MPFR_RNDN);
        mpfr_mul(r16485, r16483, r16484, MPFR_RNDN);
        mpfr_sqrt(r16486, r16485, MPFR_RNDN);
        mpfr_sqr(r16487, r16486, MPFR_RNDN);
        mpfr_sqr(r16488, r16479, MPFR_RNDN);
        ;
        mpfr_sub(r16490, r16488, r16489, MPFR_RNDN);
        mpfr_div(r16491, r16487, r16490, MPFR_RNDN);
        return mpfr_get_d(r16491, MPFR_RNDN);
}

static mpfr_t r16492, r16493, r16494, r16495, r16496, r16497, r16498, r16499, r16500, r16501, r16502, r16503, r16504, r16505, r16506, r16507, r16508, r16509, r16510, r16511;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16492);
        mpfr_init(r16493);
        mpfr_init(r16494);
        mpfr_init(r16495);
        mpfr_init(r16496);
        mpfr_init_set_str(r16497, "2", 10, MPFR_RNDN);
        mpfr_init(r16498);
        mpfr_init(r16499);
        mpfr_init(r16500);
        mpfr_init(r16501);
        mpfr_init(r16502);
        mpfr_init(r16503);
        mpfr_init(r16504);
        mpfr_init(r16505);
        mpfr_init(r16506);
        mpfr_init(r16507);
        mpfr_init(r16508);
        mpfr_init_set_str(r16509, "1.0", 10, MPFR_RNDN);
        mpfr_init(r16510);
        mpfr_init(r16511);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r16492, beta, MPFR_RNDN);
        mpfr_set_d(r16493, alpha, MPFR_RNDN);
        mpfr_add(r16494, r16492, r16493, MPFR_RNDN);
        mpfr_set_d(r16495, i, MPFR_RNDN);
        mpfr_add(r16496, r16494, r16495, MPFR_RNDN);
        ;
        mpfr_fma(r16498, r16495, r16497, r16493, MPFR_RNDN);
        mpfr_add(r16499, r16492, r16498, MPFR_RNDN);
        mpfr_div(r16500, r16496, r16499, MPFR_RNDN);
        mpfr_mul(r16501, r16493, r16492, MPFR_RNDN);
        mpfr_fma(r16502, r16495, r16496, r16501, MPFR_RNDN);
        mpfr_mul(r16503, r16500, r16502, MPFR_RNDN);
        mpfr_div(r16504, r16495, r16499, MPFR_RNDN);
        mpfr_mul(r16505, r16503, r16504, MPFR_RNDN);
        mpfr_sqrt(r16506, r16505, MPFR_RNDN);
        mpfr_sqr(r16507, r16506, MPFR_RNDN);
        mpfr_sqr(r16508, r16499, MPFR_RNDN);
        ;
        mpfr_sub(r16510, r16508, r16509, MPFR_RNDN);
        mpfr_div(r16511, r16507, r16510, MPFR_RNDN);
        return mpfr_get_d(r16511, MPFR_RNDN);
}

