On Wed, Dec 08, 2004 at 11:11:44AM +0000, Keean Schupke wrote:
You can also do this in a way that statically guarantees the property...
First you need to lift the numeric argument to the type level... This is harder for a double than an integer, but not impossible... First convert the double to a pair of Integers (an infintite precision rational number)... Then each Integer can be represented as a uniary number (this is the simplest but you will run out of context reduction stack on any kind of real number, so binary or decimal representation is better). The definitions required for this are in the attached library.
Alternatively, you could just use atan or erfc to map between the complete set of real numbers and the range from 0 to 1. This sort of trick is sometimes helpful to convert a constrained minimization into an unconstrained one. -- David Roundy http://www.darcs.net