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This is a simpler and more practical "continued logarithm" inspired on the original concept of Bill Gosper in 1978.

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Continued-Logarithm

This is a simpler and more practical "continued logarithm" inspired on the original concept of Bill Gosper in 1978.

It is implemented as non-positional binary and as non-positional ternary.

Nonpositional ternary ('Ternary') data type and its operations.

It is first defined a type Term, and then an ordered list of them starting by the greatest one, Terms = [Term], such that negative terms are represented with the - sign behind the value (exponent of 3). An example is:

  377 = [6, 5-, 4-, 3-, 0-]
      = - 3^0 - 3^3 - 3^4 - 3^5 + 3^6
      = 3^6 - 3^5 - 3^4 - 3^3 - 3^0

Then, the type Ternary is defined as a reversed list of the cummulative Terms, such that an element value is the sum of them up to it:

  377 = NT [0-,3-,1- 1- 1]
      = 3^0*(-1 + 3^3*(-1 + 3^1*(-1 + 3^1*(1 + 3^1))))

It should be an instance of Integral and Signed, so it should implementmet methods for: Ord, Num, Signed, Integral

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This is a simpler and more practical "continued logarithm" inspired on the original concept of Bill Gosper in 1978.

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