#pragma once
#include <cmath>

// $\tau_{\alpha}$
const double TAU_ALPHA = 0.5;

// $V^0_{\alpha \beta}$
const double V0_AB = 2.1;

// $\sigma$
const double SIGMA = 0.3;

// $U^0_{\alpha B}$
const double U0_AB = 10.0;

// $R$
const double R = 0.2;

// $c$
const double C = 0.5;

// $\varphi$
const double PHI = 100.0 / 180.0 * M_PI;

// $<v^0>$
const double V0_MEAN = 1.34;

// $\sqrt{\theta}$
const double V0_STD_DEV = 0.26;

// $\varDelta_{t}$
const double DELTA_T = 2;

// $dt$
const double DT = 0.02;

// # ##############################################################################################

//
// $\frac{-1}{2\sigma}$
//
const double NEG_ONE_DIV_TWO_SIGMA = -1.0 / (2 * SIGMA);

//
// $\frac{-V^0_{\alpha\beta}}{2\sigma}$
//
const double NEG_V0_AB_DIV_TWO_SIGMA = -V0_AB / (2 * SIGMA);

// $cos(\varphi)$
const double COS_PHI = cos(PHI);

// 
// $\frac{-1}{R}$
// 
const double NEG_R_INV = -1 / R;

//
// $\frac{-U^0_{\alpha B}}{R}$
//
const double NEG_U0_AB_DIV_R = -U0_AB / R;

// $c * dt$
const double C_TIMES_DT = C * DT;

// ${(\varDelta_{t})}^2$
const double DELTA_T_SQ = DELTA_T * DELTA_T;

//
// $\frac{1}{\tau_{\alpha}}$
//
const double TAU_ALPHA_INV = 1 / TAU_ALPHA;

//
// $\frac{dt}{\tau_{\alpha}}$
//
const double DT_TIMES_TAU_ALPHA_INV = DT * TAU_ALPHA_INV;

// # ##############################################################################################

const double COST_ADD = 1;
const double COST_MULT = 1;
const double COST_DIV = 1;

// https://acl.inf.ethz.ch/teaching/fastcode/knowledgebase/#:~:text=How%20do%20exp(x)%2C%20sin(x)%2C%20etc.%20count%20in%20the%20flopcount%20of%20an%20algorithm%3F
const double COST_EXP = 30;

// -O3 maps each sqrt() call to an instruction
const double COST_SQRT = 1;