[boost] [Boost.FixedPoint] Choose notation

Subject: [boost] [Boost.FixedPoint] Choose notation
From: Dmitriy Gorbel (dmitriycpp_at_[hidden])
Date: 2013-04-28 18:18:34

Hello, community!

I propose extending the Boost Libraries to provide binary 
fixed-point arithmetic, within GSOC project.

Fixed-point library will provide nonnegative and negatable 
class templates for fractional arithmetic, and cardinal 
and integral for integer arithmetic. In total, four class templates.

Fixed-point arithmetic use more than one notation, and I want
to provide several notation to make happy all.

Now I plan to implement two notations - Q notation and 
notation from C++1y proposal.
Examples:
 
C++1y proposal notation:
cardinal<16>  0 <= n < 65536
integral<4>    -16 < n < 16
nonnegative<8,-4> 0 <= n < 256 in increments of 2^-4 = 1/16
negatable<16,-8>  -65536 < n < 65536 in increments of 2^-8 = 1/256 

Q notation:
cardinal<16>  0 <= n < 65536
integral<4>    -16 < n < 16
nonnegative<8, 4>  0 <= n < 256 has 4 bit for fractional part 
negatable<16, 8>  -65536 < n < 65536 has 8 bit for fractional part 

Please, help me to choose default notation, propose other 
notation, or just make any feedback.  

Sincerely,
Dmitriy. 

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