blob: 9f6d25a44a91960564c2c4ac5b066f434750af6f (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
|
@code{(require 'rationalize)}
@ftindex rationalize
@defun rationalize x e
Computes the correct result for exact arguments (provided the
implementation supports exact rational numbers of unlimited precision);
and produces a reasonable answer for inexact arguments when inexact
arithmetic is implemented using floating-point.
@end defun
@code{Rationalize} has limited use in implementations lacking exact
(non-integer) rational numbers. The following procedures return a list
of the numerator and denominator.
@defun find-ratio x e
@code{find-ratio} returns the list of the @emph{simplest}
numerator and denominator whose quotient differs from @var{x} by no more
than @var{e}.
@format
@t{(find-ratio 3/97 .0001) @result{} (3 97)
(find-ratio 3/97 .001) @result{} (1 32)
}
@end format
@end defun
@defun find-ratio-between x y
@code{find-ratio-between} returns the list of the @emph{simplest}
numerator and denominator between @var{x} and @var{y}.
@format
@t{(find-ratio-between 2/7 3/5) @result{} (1 2)
(find-ratio-between -3/5 -2/7) @result{} (-1 2)
}
@end format
@end defun
|
