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- Log ----------------------------------------------------------------- commit 37d383ae57c2fc9597cb87eac9551af866885cd3 Author: Raymond Toy toy.raymond@gmail.com Date: Wed Nov 26 14:04:29 2014 -0800

Fix some issues with log2 and log10 of big rationals.

* src/code/irrat.lisp: * Add log10 function to handle the computation of the base 10 log of big rationals that might not fit in a double-float. * Fix some issues where CL:LOG wasn't handling logs of big rationals. (A regression). * tests/trac.lisp: * Update trac.8 test to include logs base 10.

diff --git a/src/code/irrat.lisp b/src/code/irrat.lisp index 568fa46..325e5bc 100644 --- a/src/code/irrat.lisp +++ b/src/code/irrat.lisp @@ -645,6 +645,19 @@ (log2-bignum x) (+ n frac))))))

+;; Handle the case where number could be so large that it doesn't fit +;; in a double-float. +(defun log10 (number &optional (float-type 1d0)) + (let ((d (ignore-errors (float number 1d0)))) + (cond (d + ;; Number fits in a double, so it's easy + (float (%log10 d) float-type)) + (t + ;; Number doesn't fit in a double. Do it the hard way. + ;; This should be done more accurately. + (/ (log2 number float-type) + (log2 (float 10 float-type))))))) + (defun log (number &optional (base nil base-p)) "Return the logarithm of NUMBER in the base BASE, which defaults to e." (if base-p @@ -667,12 +680,17 @@ ((double-float (foreach integer ratio single-float double-float)) (%log2 number)) - (((foreach integer ratio single-float) + ((single-float double-float) + (%log2 (float number 1d0))) + ((single-float (foreach integer ratio single-float)) (float (%log2 (float number 1d0)) 1f0)) - (((foreach integer ratio single-float) + (((foreach integer ratio) + (foreach integer ratio single-float)) + (log2 number 1f0)) + (((foreach integer ratio) double-float) - (%log2 (float number 1d0))) + (log2 number 1d0)) #+double-double (((foreach integer ratio single-float double-float) double-double-float) @@ -690,14 +708,19 @@ ;; log base 2 and 10 for non-negative arguments. (number-dispatch ((number real) (base real)) ((double-float - (foreach rational single-float double-float)) + (foreach integer ratio single-float double-float)) (%log10 number)) - (((foreach integer ratio single-float) + ((single-float double-float) + (%log10 (float number 1d0))) + ((single-float (foreach integer ratio single-float)) (float (%log10 (float number 1d0)) 1f0)) - (((foreach integer ratio single-float) + (((foreach integer ratio) + (foreach integer ratio single-float)) + (log10 number 1f0)) + (((foreach integer ratio) double-float) - (%log10 (float number 1d0))) + (log10 number 1d0)) #+double-double (((foreach integer ratio single-float double-float) ext:double-double-float) diff --git a/tests/trac.lisp b/tests/trac.lisp index 2bf420d..198a24d 100644 --- a/tests/trac.lisp +++ b/tests/trac.lisp @@ -22,7 +22,7 @@ (:tag :trac) (assert-false (let (failures) - (dolist (base (list nil 2 2.0 2d0 + (dolist (base (list nil 2 2.0 2d0 10 10.0 10d0 (ash 1 99) (ash 1 3000) 8/7 (/ (ash 1 3000) 7))) (dolist (number (list 100 100.0 100d0

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Summary of changes: src/code/irrat.lisp | 37 ++++++++++++++++++++++++++++++------- tests/trac.lisp | 2 +- 2 files changed, 31 insertions(+), 8 deletions(-)

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