How to improve the accuracy of float basic operations(+,/,*,-)? [closed] - math

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There are only 32-bit registers on the system, and only the float type can be used, but I want to achieve high-precision floating-point operations.I found that I can use the double-float method such as float-float and Extended-Precision Floating-Point Numbers ,but I am not sure about the error(ULP) generated by comparing the results of these methods with the results of the hardware double operation.Is there a better way to improve the precision of float operation(+,-,*,/)?

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Writing R-thonic code in R [closed]

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What were the design decisions that led to R having often more than one way of doing things, that have subtle difference? See, for a good example,
https://www.r-bloggers.com/r-na-vs-null/
More more such issues are here, some which are justified, some which are not http://r4stats.com/articles/why-r-is-hard-to-learn/
From a software engineering perspective, having such choices in a language screams for having subtle and hard-to-find bugs in your code (e.g. in Python the whole point of writing "pythonic" code, that avoids ambiguity and is easy to read and consistent in style). So there must be some major advantages of having that. What are they?

How to calculate 2790**2753 ≡ X (mod 3233) [closed]

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I was doing RSA private key decrypt,but this big number always give me infinite or NaN,how to calculate it programmably?
Big integers are not primitives in most programming language, but many of them have a BigInt or BigInteger class.
Usually, there are specialized implementation for speeding up that power/modulus operation, rather than a simplistic implementation.
You have to specify the desired programming language for suggesting a complete bit integer library.

Measurable indicator for usability [closed]

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I am starting a new project and I have the problem with the measurability of the requirement usability.
With is an good atomic measurable indicator for usability?
Number of klicks or keystrokes per action, weighted with the estimated relative frequency of the action.
However, this metric does not take into account a few important aspects of usability:
How easy it is to memorize the sequence of clicks and keystrokes
The amount of feedback provided to the user
The likelyhood of invalid inputs
Still it can be useful for comparing user interfaces that are similar with respect to these aspects.

what are the notations used for Software highlevel design? [closed]

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i have been given to design software.i have designed the overall process using box and arrow notation .i want to know for high level design of software is there any specific notation to follow.
One of the most commonly used notations is UML or Unified Modelling Language.

Why it's so difficult to find a simple value of variable in xcode? [closed]

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It's not available on the lower left screen thingy. If I do po self.delegate.tvDelegated it doesn't work either.
It's simple looking at some variable value. What's the problem?
Sometimes is better to use the original method sending, instead of dot notation, even if in the latest version support mors dote, try to write
po [[self delegate] tvDelegated]

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