Menu
numeric_limits::espilon returns the difference between 1 and the next double. So, should I understand that the distance between two adjacent doubles is not always the same, for instance between 2 and the next double?
And if yes could I have a piece of explanation ?
781
This means that Epsilon is the smallest positive Double value greater than zero and represents the smallest possible value and the smallest possible increment for a Double whose exponent is -1022. C# Copy.
The numeric_limits class template provides a standardized way to query various properties of arithmetic types (e.g. the largest possible value for type int is std::numeric_limits<int>::max()). This information is provided via specializations of the numeric_limits template.
Machine Epsilon is a machine-dependent floating point value that provides an upper bound on relative error due to rounding in floating point arithmetic. Mathematically, for each floating point type, it is equivalent to the difference between 1.0 and the smallest representable value that is greater than 1.0.
Machine epsilon equals the smallest number such that (1.0 + machine epsilon) != 1.0. Some languages have types with a constant defined called Epsilon which represents the smallest positive float value that is greater than zero.
The "density" of floating-point numbers decreases a lot as you get farther away from zero.
This is because IEEE floating-point is stored essentially as scientific notation, so range is favored over uniform precision. (If it was uniform precision, it would be fixed-point, not floating-point.)
In other words, numbers are stored in the form Significand * 2exponent, so if the exponent gets large, a small change in the significand produces a large change in the number (and vice-versa).
So no, you can't assume that the difference between 2 and the next double is the same as epsilon; it isn't.
128
Doubles are floating point numbers. They consist of a signum, a significand and an exponent.
The higher the exponent, the larger the difference between a double and its successor.
The lower the exponent, the smaller the difference between a double and its successor.
33
If you love us? You can donate to us via Paypal or buy me a coffee so we can maintain and grow! Thank you!
Donate Us With
