Double Precision
Robert P. Munafo, 2023 Jun 19.
This term almost always refers to the IEEE 754 64-bit floating point format, and in Mandelbrot contexts the 2008 revisions are unimportant.
Because it is the best precision available with "native" hardware support, double precision is used as much as possible even in situations where extended precision is needed. Many parts of a calculation can be done at lower than full precision. Notable examples are the distance estimator calculation and most perturbation methods. In these methods the derivative and the "deltas" can be computed in double precision, and in some cases added to one full-precision result to get another full-precision result.
See also double-double and extended precision.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.
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