Merge branch 'ahmed' into 'main'

constants.hpp

@@ -0,0 +1,88 @@
+#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;