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Diffstat (limited to 'ratize.txi')
| -rw-r--r-- | ratize.txi | 41 |
1 files changed, 41 insertions, 0 deletions
diff --git a/ratize.txi b/ratize.txi new file mode 100644 index 0000000..63b5917 --- /dev/null +++ b/ratize.txi @@ -0,0 +1,41 @@ +@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 |