Timestep floating point precision

func.cpp

float func(float dt)
{
  float steps = dt * 2000.f;
  return dt / steps;
}

main.cpp

#include <iostream>

extern float func(float);

int main(int argc, char* argv[])
{
  for (double fps = 5.0; fps < 1000.0; fps += 1.e-3)
  {
    float dt = 1.0 / fps;
    std::cout << "FPS: " << fps << "\t\tTimestep: " << func(dt) << "\n";
  }
}