For-loop in C++ using double breaking out one step early, boundary value not reached

Question

I have a simple C++ program compiled using gcc 4.2.4 on 32-bit Ubuntu 8.04. It has a for-loop in which a double variable is incremented from zero t

Answer 1

Most exact decimals do not have an exact finite representation in floating point arithmetic.

You need to read Goldberg's What Every Computer Scientist Should Know About Floating-Point Arithmetic.