integer floats with remainder theory - copyright RSThe float is formed of 2 integers...
One being the integer and the remainder being the floating component....
thusly we need two integers per float for example 2 32bit integers will make one single float instruction....
integer A : Remainder B
A + B = float
(A + B) x (A²+B²)
= float C dislocating A and B by a certain number of places = a float that travels as the integer.
Expansion data sets:
A1 : B1
A2 : B2
Ar : Br
F1 : Bf1
F2 : Bf2
Fr : Bfr
A : Integer
F : Float
r : Remainder
The data set expansion can be infinite and the expansion of the data set doubles the precision,
With the remainder... infinite computation = infinite precision.
Not only that but the computation can be executed as an Integer or as a float or indeed with both.
Relevance is that on computers there are a lot of integer registers; Float also..
Also the data can be compressed in ram without using larger buffer widths.
copyright Rupert Summerskill