small doc edits
svn: r6586
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@ -5,6 +5,7 @@
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max-width: 35em;
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max-width: 35em;
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margin-left: auto;
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margin-left: auto;
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margin-right: auto;
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margin-right: auto;
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padding-left: 0.5em;
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font-family: Times;
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font-family: Times;
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}
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}
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@ -76,9 +76,10 @@ types of numbers.
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(inexact->exact 0.1)
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(inexact->exact 0.1)
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]
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]
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Inexact results are also produced by trancendental procedures such as
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Inexact results are also produced by procedures such as @scheme[sqrt],
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@scheme[sin] and @scheme[cos], in part because Scheme can only
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@scheme[log], and @scheme[sin] when an exact result would require
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represent rational numbers.
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representing real numbers that are not rational. Scheme can represent
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only rational numbers and complex numbers with rational parts.
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@examples[
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@examples[
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(code:line (sin 0) (code:comment #, @t{rational...}))
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(code:line (sin 0) (code:comment #, @t{rational...}))
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@ -133,4 +134,16 @@ compares numbers considering both exactness and numerical equality.
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(eqv? 1 1.0)
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(eqv? 1 1.0)
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]
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]
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Beware of comparisons involving inexact numbers, which by their nature
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can have surprising behavior. Even apparently simple inexact numbers
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may not mean what you think they mean; for example, while a base-2
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IEEE floating-point number can represent @scheme[1/2] exactly, it
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can only approximate @scheme[1/10]:
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@examples[
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(= 1/2 0.5)
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(= 1/10 0.1)
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(inexact->exact 0.1)
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]
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@refdetails["mz:numbers"]{numbers and number procedures}
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@refdetails["mz:numbers"]{numbers and number procedures}
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@ -11,7 +11,7 @@
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A @defterm{pair} joins two arbitrary values. The @scheme[cons]
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A @defterm{pair} joins two arbitrary values. The @scheme[cons]
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procedure constructs pairs, and the @scheme[car] and @scheme[cdr]
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procedure constructs pairs, and the @scheme[car] and @scheme[cdr]
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procedures extract the first and second elements of the pair,
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procedures extract the first and second elements of the pair,
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respectively. The @scheme[pair?] predicate recogizes pairs.
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respectively. The @scheme[pair?] predicate recognizes pairs.
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Some pairs print by wrapping parentheses around the printed forms of
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Some pairs print by wrapping parentheses around the printed forms of
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the two pair elements, putting a @litchar{.} between them.
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the two pair elements, putting a @litchar{.} between them.
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@ -61,7 +61,7 @@ infinity, or @scheme[+nan.0] if no such limit exists.
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A @pidefterm{fixnum} is an exact integer whose two's complement
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A @pidefterm{fixnum} is an exact integer whose two's complement
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representation fit into 31 bits on a 32-bit platform or 63 bits on a
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representation fit into 31 bits on a 32-bit platform or 63 bits on a
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64-bit platform. Two fixnums that are @scheme[=] are also the same
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64-bit platform. Two fixnums that are @scheme[=] are also the same
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according to @scheme[eq?]. Otherwise, the result of @scheme{eq?}
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according to @scheme[eq?]. Otherwise, the result of @scheme[eq?]
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applied to two numbers is undefined.
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applied to two numbers is undefined.
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Two numbers are @scheme[eqv?] when they are both inexact or both
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Two numbers are @scheme[eqv?] when they are both inexact or both
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