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

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r23095 = th;
        float r23096 = cos(r23095);
        float r23097 = 2;
        float r23098 = sqrt(r23097);
        float r23099 = r23096 / r23098;
        float r23100 = a1;
        float r23101 = r23100 * r23100;
        float r23102 = r23099 * r23101;
        float r23103 = a2;
        float r23104 = r23103 * r23103;
        float r23105 = r23099 * r23104;
        float r23106 = r23102 + r23105;
        return r23106;
}

double f_id(double a1, double a2, double th) {
        double r23107 = th;
        double r23108 = cos(r23107);
        double r23109 = 2;
        double r23110 = sqrt(r23109);
        double r23111 = r23108 / r23110;
        double r23112 = a1;
        double r23113 = r23112 * r23112;
        double r23114 = r23111 * r23113;
        double r23115 = a2;
        double r23116 = r23115 * r23115;
        double r23117 = r23111 * r23116;
        double r23118 = r23114 + r23117;
        return r23118;
}


double f_of(float a1, float a2, float th) {
        float r23119 = th;
        float r23120 = cos(r23119);
        float r23121 = 2;
        float r23122 = sqrt(r23121);
        float r23123 = r23120 / r23122;
        float r23124 = a1;
        float r23125 = r23124 * r23124;
        float r23126 = r23123 * r23125;
        float r23127 = a2;
        float r23128 = r23123 * r23127;
        float r23129 = r23128 * r23127;
        float r23130 = r23126 + r23129;
        return r23130;
}

double f_od(double a1, double a2, double th) {
        double r23131 = th;
        double r23132 = cos(r23131);
        double r23133 = 2;
        double r23134 = sqrt(r23133);
        double r23135 = r23132 / r23134;
        double r23136 = a1;
        double r23137 = r23136 * r23136;
        double r23138 = r23135 * r23137;
        double r23139 = a2;
        double r23140 = r23135 * r23139;
        double r23141 = r23140 * r23139;
        double r23142 = r23138 + r23141;
        return r23142;
}

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 r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init_set_str(r23145, "2", 10, MPFR_RNDN);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23143, th, MPFR_RNDN);
        mpfr_cos(r23144, r23143, MPFR_RNDN);
        ;
        mpfr_sqrt(r23146, r23145, MPFR_RNDN);
        mpfr_div(r23147, r23144, r23146, MPFR_RNDN);
        mpfr_set_d(r23148, a1, MPFR_RNDN);
        mpfr_mul(r23149, r23148, r23148, MPFR_RNDN);
        mpfr_mul(r23150, r23147, r23149, MPFR_RNDN);
        mpfr_set_d(r23151, a2, MPFR_RNDN);
        mpfr_mul(r23152, r23151, r23151, MPFR_RNDN);
        mpfr_mul(r23153, r23147, r23152, MPFR_RNDN);
        mpfr_add(r23154, r23150, r23153, MPFR_RNDN);
        return mpfr_get_d(r23154, MPFR_RNDN);
}

static mpfr_t r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init_set_str(r23157, "2", 10, MPFR_RNDN);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23155, th, MPFR_RNDN);
        mpfr_cos(r23156, r23155, MPFR_RNDN);
        ;
        mpfr_sqrt(r23158, r23157, MPFR_RNDN);
        mpfr_div(r23159, r23156, r23158, MPFR_RNDN);
        mpfr_set_d(r23160, a1, MPFR_RNDN);
        mpfr_mul(r23161, r23160, r23160, MPFR_RNDN);
        mpfr_mul(r23162, r23159, r23161, MPFR_RNDN);
        mpfr_set_d(r23163, a2, MPFR_RNDN);
        mpfr_mul(r23164, r23159, r23163, MPFR_RNDN);
        mpfr_mul(r23165, r23164, r23163, MPFR_RNDN);
        mpfr_add(r23166, r23162, r23165, MPFR_RNDN);
        return mpfr_get_d(r23166, MPFR_RNDN);
}

static mpfr_t r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init_set_str(r23169, "2", 10, MPFR_RNDN);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init(r23178);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23167, th, MPFR_RNDN);
        mpfr_cos(r23168, r23167, MPFR_RNDN);
        ;
        mpfr_sqrt(r23170, r23169, MPFR_RNDN);
        mpfr_div(r23171, r23168, r23170, MPFR_RNDN);
        mpfr_set_d(r23172, a1, MPFR_RNDN);
        mpfr_mul(r23173, r23172, r23172, MPFR_RNDN);
        mpfr_mul(r23174, r23171, r23173, MPFR_RNDN);
        mpfr_set_d(r23175, a2, MPFR_RNDN);
        mpfr_mul(r23176, r23171, r23175, MPFR_RNDN);
        mpfr_mul(r23177, r23176, r23175, MPFR_RNDN);
        mpfr_add(r23178, r23174, r23177, MPFR_RNDN);
        return mpfr_get_d(r23178, MPFR_RNDN);
}