Improve physical geometry, fluid solvers, audio, and profiling

include/FluidSim/MeshResolution.hpp

@@ -0,0 +1,13 @@
+#pragma once
+#include <algorithm>
+#include <cmath>
+#include <stdexcept>
+namespace fluidsim::port {
+inline int mesh_cell_count(float length,float cells_per_meter) {
+    if(!std::isfinite(cells_per_meter) || cells_per_meter<1 || cells_per_meter>500 || !std::isfinite(length) || length<=0)
+        throw std::invalid_argument("cells_per_meter must be in 1..500 with positive pipe length");
+    const double count=double(length)*cells_per_meter;
+    if(count>4096.001) throw std::invalid_argument("pipe mesh exceeds 4096 cells");
+    return std::max(1,int(std::ceil(count-1e-6*std::max(1.,count))));
+}
+}