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Fix some typos I noticed in the Programming Cryptol book. (#1631)
- p-1 bits in an IEEE float refers to the significand, not the mantissa, at least according to the latest preferred terminology, which aims to keep the word "mantissa" for the full mantissa including the units bit; - reciprocal rather than reciprocol; - the example in 1.23 had the wrong module declarations; also insert a separator word between the verbatim blocks so they can be told apart.
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@ -365,7 +365,7 @@ and integers.
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The family of types \texttt{Float e p}\indTheFloatType represent IEEE 754
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floating point numbers with \texttt{e} bits in the exponent and
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\texttt{p-1} bits in the mantissa. The family is defined in a built-in
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\texttt{p-1} bits in the significand. The family is defined in a built-in
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module called \texttt{Float} so to use it you'd need to either import
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it in your Cryptol specification or use \texttt{:m Float} on the
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Cryptol REPL.
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@ -3206,7 +3206,7 @@ Bitvectors and integers members of \texttt{Integral}.
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The \texttt{Field} typeclass represents values that, in addition to
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being a \texttt{Ring}, have multiplictive inverses.
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It includes the field division operation \texttt{/.} and the
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\texttt{recip} operation for computing the reciprocol of a value.
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\texttt{recip} operation for computing the reciprocal of a value.
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Currently, only type \texttt{Rational} is a member of this class.
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\item
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@ -3598,6 +3598,7 @@ accessing it from \verb+HMAC.cry+ you would need to name the modules
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accordingly:
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\begin{verbatim}
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module Hash::SHA3 where
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sha3 : {n} (fin n) => [n] -> [512]
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sha3 = error "Stubbed, for demonstration only: sha3-512"
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@ -3606,8 +3607,10 @@ blocksize : {n} (fin n, n >= 10) => [n]
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blocksize = 576
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\end{verbatim}
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and
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\begin{verbatim}
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module Hash::SHA3 where
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module HMAC where
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import Hash::SHA3
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hmac : {keySize, msgSize} (fin keySize, fin msgSize) => [keySize] -> [msgSize] -> [512]
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