#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 r22084 = th;
        float r22085 = cos(r22084);
        float r22086 = 2;
        float r22087 = sqrt(r22086);
        float r22088 = r22085 / r22087;
        float r22089 = a1;
        float r22090 = r22089 * r22089;
        float r22091 = r22088 * r22090;
        float r22092 = a2;
        float r22093 = r22092 * r22092;
        float r22094 = r22088 * r22093;
        float r22095 = r22091 + r22094;
        return r22095;
}

double f_id(double a1, double a2, double th) {
        double r22096 = th;
        double r22097 = cos(r22096);
        double r22098 = 2;
        double r22099 = sqrt(r22098);
        double r22100 = r22097 / r22099;
        double r22101 = a1;
        double r22102 = r22101 * r22101;
        double r22103 = r22100 * r22102;
        double r22104 = a2;
        double r22105 = r22104 * r22104;
        double r22106 = r22100 * r22105;
        double r22107 = r22103 + r22106;
        return r22107;
}


double f_of(float a1, float a2, float th) {
        float r22108 = th;
        float r22109 = cos(r22108);
        float r22110 = a1;
        float r22111 = a2;
        float r22112 = r22111 * r22111;
        float r22113 = fma(r22110, r22110, r22112);
        float r22114 = 2;
        float r22115 = sqrt(r22114);
        float r22116 = r22113 / r22115;
        float r22117 = r22109 * r22116;
        return r22117;
}

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

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 r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init_set_str(r22130, "2", 10, MPFR_RNDN);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22128, th, MPFR_RNDN);
        mpfr_cos(r22129, r22128, MPFR_RNDN);
        ;
        mpfr_sqrt(r22131, r22130, MPFR_RNDN);
        mpfr_div(r22132, r22129, r22131, MPFR_RNDN);
        mpfr_set_d(r22133, a1, MPFR_RNDN);
        mpfr_mul(r22134, r22133, r22133, MPFR_RNDN);
        mpfr_mul(r22135, r22132, r22134, MPFR_RNDN);
        mpfr_set_d(r22136, a2, MPFR_RNDN);
        mpfr_mul(r22137, r22136, r22136, MPFR_RNDN);
        mpfr_mul(r22138, r22132, r22137, MPFR_RNDN);
        mpfr_add(r22139, r22135, r22138, MPFR_RNDN);
        return mpfr_get_d(r22139, MPFR_RNDN);
}

static mpfr_t r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init_set_str(r22146, "2", 10, MPFR_RNDN);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22140, th, MPFR_RNDN);
        mpfr_cos(r22141, r22140, MPFR_RNDN);
        mpfr_set_d(r22142, a1, MPFR_RNDN);
        mpfr_set_d(r22143, a2, MPFR_RNDN);
        mpfr_mul(r22144, r22143, r22143, MPFR_RNDN);
        mpfr_fma(r22145, r22142, r22142, r22144, MPFR_RNDN);
        ;
        mpfr_sqrt(r22147, r22146, MPFR_RNDN);
        mpfr_div(r22148, r22145, r22147, MPFR_RNDN);
        mpfr_mul(r22149, r22141, r22148, MPFR_RNDN);
        return mpfr_get_d(r22149, MPFR_RNDN);
}

static mpfr_t r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init_set_str(r22156, "2", 10, MPFR_RNDN);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22150, th, MPFR_RNDN);
        mpfr_cos(r22151, r22150, MPFR_RNDN);
        mpfr_set_d(r22152, a1, MPFR_RNDN);
        mpfr_set_d(r22153, a2, MPFR_RNDN);
        mpfr_mul(r22154, r22153, r22153, MPFR_RNDN);
        mpfr_fma(r22155, r22152, r22152, r22154, MPFR_RNDN);
        ;
        mpfr_sqrt(r22157, r22156, MPFR_RNDN);
        mpfr_div(r22158, r22155, r22157, MPFR_RNDN);
        mpfr_mul(r22159, r22151, r22158, MPFR_RNDN);
        return mpfr_get_d(r22159, MPFR_RNDN);
}