are int, float, long, double, side-effects of computer engineering?

Xah Lee wrote:

«… One easy way to measure it is whether a programer can read and

understand a program without having to delve into its idiosyncrasies.

…»

Chris Angelico wrote:

«Neither the behavior of ints nor the behavior of IEEE floating point

is a "quirk" or an "idiosyncracy". …»

they are computer engineering by-products. Are quirks and

idiosyncracies. Check out a advanced lang such as Mathematica. There,

one can learn how the mathematical concept of integer or real number

are implemented in a computer language, without lots by-products of

comp engineering as in vast majority of langs (all those that chalks

up to some IEEEEEEE. (which, sadly, includes C, C++, perl, python,

lisp, and almost all. (Common/Scheme lisp idiots speak of the jargon

“number tower” instead IEEEE.) (part of the reason almost all langs

stick to some IEEEEEEEE stuff is because it's kinda standard, and

everyone understand it, in the sense that unix RFC (aka really fucking

common) is wide-spread because its free yet technically worst. (in a

sense, when everybody's stupid, there arise a cost to not be

stupid.)))).

A friend asked: «Can you enlighten us as to Mathematica's way of

handling numbers, either by a post or a link to suitable

documentation? …»

what i meant to point out is that Mathematica deals with numbers at a

high-level human way. That is, one doesn't think in terms of float,

long, int, double. These words are never mentioned. Instead, you have

concepts of machine precision, accuracy. The lang automatically handle

the translation to hardware, and invoking exact value or infinite

precision as required or requested.

in most lang's doc, words like int, long, double, float are part of

the lang, and it's quick to mention IEEE. Then you have the wide-

spread overflow issue in your lang. In M, the programer only need to

think in terms of math, i.e. Real number, Integer, complex number,

precision, accuracy, etc.

this is what i meat that most lang deals with computer engineering by-

products, and i wished them to be higher level like M.

http://reference.wolfram.com/mathematica/guide/PrecisionAndAccuracyControl.html

Xah

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