Bailout Test

The bailout test is used to determine if we should stop iterating before the maximum iteration count is reached. This test compares the value determined by the test to the "bailout" value set via the [Z] screen. The default bailout test compares the magnitude or modulus of a complex variable to some bailout value:

bailout test = |z| = sqrt(x^2 + y^2) > = 2 As a computational speedup, we square both sides of this equation and the bailout test used by Fractint is:

bailout test = |z|^2 = x^2 + y^2 > = 4

Using a "bailout" other than 4 allows us to change when the bailout will occur.

The following bailout tests have been implemented on the [Z] screen:

The bailout test feature has not been implemented for all applicable fractal types. This is due to the speedups used for these types. Some of these bailout tests show the limitations of the integer math routines by clipping the spiked ends off of the protrusions.

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Noel Giffin,