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16 lines
834 B
Plaintext
16 lines
834 B
Plaintext
Arb is an implementation of ball arithmetic, also known as mid-rad interval
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arithmetic. Ball arithmetic is an extension of floating-point arithmetic in
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which an error bound is attached to each variable. This allows computing
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rigorously with real and complex numbers.
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With plain floating-point arithmetic, the user must do an error analysis to
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guarantee that results are correct. Manual error analysis is time-consuming and
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bug-prone. Ball arithmetic effectively makes error analysis automatic.
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Arb is designed for computer algebra and computational number theory, but may be
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useful in any area demanding reliable or precise numerical computing. Arb scales
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seamlessly from tens of digits up to billions of digits. Efficiency is achieved
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by low level optimizations and use of asymptotically fast algorithms.
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WWW: https://arblib.org/
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