#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 r22093 = th;
        float r22094 = cos(r22093);
        float r22095 = 2;
        float r22096 = sqrt(r22095);
        float r22097 = r22094 / r22096;
        float r22098 = a1;
        float r22099 = r22098 * r22098;
        float r22100 = r22097 * r22099;
        float r22101 = a2;
        float r22102 = r22101 * r22101;
        float r22103 = r22097 * r22102;
        float r22104 = r22100 + r22103;
        return r22104;
}

double f_id(double a1, double a2, double th) {
        double r22105 = th;
        double r22106 = cos(r22105);
        double r22107 = 2;
        double r22108 = sqrt(r22107);
        double r22109 = r22106 / r22108;
        double r22110 = a1;
        double r22111 = r22110 * r22110;
        double r22112 = r22109 * r22111;
        double r22113 = a2;
        double r22114 = r22113 * r22113;
        double r22115 = r22109 * r22114;
        double r22116 = r22112 + r22115;
        return r22116;
}


double f_of(float a1, float a2, float th) {
        float r22117 = th;
        float r22118 = cos(r22117);
        float r22119 = 2;
        float r22120 = sqrt(r22119);
        float r22121 = sqrt(r22120);
        float r22122 = r22118 / r22121;
        float r22123 = r22122 / r22121;
        float r22124 = a1;
        float r22125 = a2;
        float r22126 = r22125 * r22125;
        float r22127 = fma(r22124, r22124, r22126);
        float r22128 = r22123 * r22127;
        return r22128;
}

double f_od(double a1, double a2, double th) {
        double r22129 = th;
        double r22130 = cos(r22129);
        double r22131 = 2;
        double r22132 = sqrt(r22131);
        double r22133 = sqrt(r22132);
        double r22134 = r22130 / r22133;
        double r22135 = r22134 / r22133;
        double r22136 = a1;
        double r22137 = a2;
        double r22138 = r22137 * r22137;
        double r22139 = fma(r22136, r22136, r22138);
        double r22140 = r22135 * r22139;
        return r22140;
}

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 r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init_set_str(r22143, "2", 10, MPFR_RNDN);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22141, th, MPFR_RNDN);
        mpfr_cos(r22142, r22141, MPFR_RNDN);
        ;
        mpfr_sqrt(r22144, r22143, MPFR_RNDN);
        mpfr_div(r22145, r22142, r22144, MPFR_RNDN);
        mpfr_set_d(r22146, a1, MPFR_RNDN);
        mpfr_mul(r22147, r22146, r22146, MPFR_RNDN);
        mpfr_mul(r22148, r22145, r22147, MPFR_RNDN);
        mpfr_set_d(r22149, a2, MPFR_RNDN);
        mpfr_mul(r22150, r22149, r22149, MPFR_RNDN);
        mpfr_mul(r22151, r22145, r22150, MPFR_RNDN);
        mpfr_add(r22152, r22148, r22151, MPFR_RNDN);
        return mpfr_get_d(r22152, MPFR_RNDN);
}

static mpfr_t r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init_set_str(r22155, "2", 10, MPFR_RNDN);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22153, th, MPFR_RNDN);
        mpfr_cos(r22154, r22153, MPFR_RNDN);
        ;
        mpfr_sqrt(r22156, r22155, MPFR_RNDN);
        mpfr_sqrt(r22157, r22156, MPFR_RNDN);
        mpfr_div(r22158, r22154, r22157, MPFR_RNDN);
        mpfr_div(r22159, r22158, r22157, MPFR_RNDN);
        mpfr_set_d(r22160, a1, MPFR_RNDN);
        mpfr_set_d(r22161, a2, MPFR_RNDN);
        mpfr_mul(r22162, r22161, r22161, MPFR_RNDN);
        mpfr_fma(r22163, r22160, r22160, r22162, MPFR_RNDN);
        mpfr_mul(r22164, r22159, r22163, MPFR_RNDN);
        return mpfr_get_d(r22164, MPFR_RNDN);
}

static mpfr_t r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init_set_str(r22167, "2", 10, MPFR_RNDN);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22165, th, MPFR_RNDN);
        mpfr_cos(r22166, r22165, MPFR_RNDN);
        ;
        mpfr_sqrt(r22168, r22167, MPFR_RNDN);
        mpfr_sqrt(r22169, r22168, MPFR_RNDN);
        mpfr_div(r22170, r22166, r22169, MPFR_RNDN);
        mpfr_div(r22171, r22170, r22169, MPFR_RNDN);
        mpfr_set_d(r22172, a1, MPFR_RNDN);
        mpfr_set_d(r22173, a2, MPFR_RNDN);
        mpfr_mul(r22174, r22173, r22173, MPFR_RNDN);
        mpfr_fma(r22175, r22172, r22172, r22174, MPFR_RNDN);
        mpfr_mul(r22176, r22171, r22175, MPFR_RNDN);
        return mpfr_get_d(r22176, MPFR_RNDN);
}